{"id":379553,"date":"2024-08-27T16:30:50","date_gmt":"2024-08-27T09:30:50","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=379553"},"modified":"2024-08-27T16:30:50","modified_gmt":"2024-08-27T09:30:50","slug":"logarit-la-gi","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/","title":{"rendered":"Logarit l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh"},"content":{"rendered":"<p><b>Logarit l\u00e0 g\u00ec<\/b><span style=\"font-weight: 400;\"> l\u00e0 v\u1ea5n \u0111\u1ec1 \u0111\u01b0\u1ee3c c\u00e1c b\u1ea1n h\u1ecdc sinh \u0111\u1eb7c bi\u1ec7t quan t\u00e2m. \u0110\u00e2y l\u00e0 m\u1ed9t d\u1ea1ng to\u00e1n \u0111\u01b0\u1ee3c \u0111\u00e1nh gi\u00e1 kh\u00e1 kh\u00f3, v\u00ec c\u00e1c b\u1ea1n d\u1ec5 nh\u1ea7m l\u1eabn c\u00f4ng th\u1ee9c. Hi\u1ec3u \u0111\u01b0\u1ee3c \u0111i\u1ec1u n\u00e0y, b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y ch\u00fang t\u00f4i s\u1ebd chia s\u1ebb c\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh. C\u00e1c b\u1ea1n c\u1ea7n linh ho\u1ea1t trong vi\u1ec7c s\u1eed d\u1ee5ng \u0111\u1ec3 l\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang.\u00a0<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">Logarit l\u00e0 g\u00ec?<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Logarit c\u1ee7a m\u1ed9t s\u1ed1 l\u00e0 lu\u1ef9 th\u1eeba &#8211; m\u1ed9t gi\u00e1 tr\u1ecb c\u1ed1 \u0111\u1ecbnh \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 c\u01a1 s\u1ed1 ph\u1ea3i \u0111\u01b0\u1ee3c n\u00e2ng l\u00ean \u0111\u1ec3 t\u1ea1o ra s\u1ed1 \u0111\u00f3. C\u00e1c b\u1ea1n c\u00f3 th\u1ec3 hi\u1ec3u \u0111\u01a1n gi\u1ea3n, logarit ch\u00ednh l\u00e0 ph\u00e9p to\u00e1n ngh\u1ecbch \u0111\u1ea3o c\u1ee7a lu\u1ef9 th\u1eeba hay ch\u00ednh l\u00e0 s\u1ed1 l\u1ea7n l\u1eb7p \u0111i l\u1eb7p l\u1ea1i c\u1ee7a ph\u00e9p nh\u00e2n. C\u00f4ng th\u1ee9c c\u1ee7a ph\u00e9p to\u00e1n chung c\u1ee7a logarit nh\u01b0 sau: ax = b \u21d4 x = <\/span><span style=\"font-weight: 400;\">log<\/span><span style=\"font-weight: 400;\">a<\/span><span style=\"font-weight: 400;\">b. <\/span><span style=\"font-weight: 400;\">\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-2.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-2-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-2-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-379817 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-2.jpg\" alt=\"logarit-la-gi-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">Trong to\u00e1n h\u1ecdc, c\u00f3 3 lo\u1ea1i logarit, m\u1ed7i lo\u1ea1i s\u1ebd c\u00f3 nh\u1eefng \u0111\u1eb7c \u0111i\u1ec3m ri\u00eang. Sau \u0111\u00e2y l\u00e0 th\u00f4ng tin ph\u00e2n lo\u1ea1i logarit cho c\u00e1c b\u1ea1n n\u1eafm \u0111\u01b0\u1ee3c:\u00a0<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400;\">Logarit th\u1eadp ph\u00e2n: \u0110\u01b0\u1ee3c vi\u1ebft l\u00e0 <\/span><span style=\"font-weight: 400;\">log<\/span><span style=\"font-weight: 400;\">10<\/span><span style=\"font-weight: 400;\"> ho\u1eb7c \u0111\u01a1n gi\u1ea3n l\u00e0 log. Logarit th\u1eadp ph\u00e2n c\u00f3 c\u01a1 s\u1ed1 10 \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng trong khoa h\u1ecdc v\u00e0 k\u1ef9 thu\u1eadt.\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">Logarit t\u1ef1 nhi\u00ean: \u0110\u01b0\u1ee3c s\u1eed d\u1ee5ng ch\u1ee7 y\u1ebfu trong to\u00e1n h\u1ecdc, \u0111\u1eb7c bi\u1ec7t trong gi\u1ea3i t\u00edch v\u00e0 c\u00e1c ph\u00e9p t\u00ednh li\u00ean quan \u0111\u1ebfn s\u1ef1 t\u0103ng tr\u01b0\u1edfng theo th\u1eddi gian v\u00e0 c\u00e1c qu\u00e1 tr\u00ecnh t\u1ef1 nhi\u00ean. Logarit t\u1ef1 nhi\u00ean \u0111\u01b0\u1ee3c k\u00fd hi\u1ec7u l\u00e0 ln, c\u01a1 s\u1ed1 e kho\u1ea3ng 2.71828.\u00a0\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">Logarit nh\u1ecb ph\u00e2n: Th\u01b0\u1eddng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng trong khoa h\u1ecdc m\u00e1y t\u00ednh v\u00e0 l\u00fd thuy\u1ebft th\u00f4ng tin, \u0111\u1eb7c bi\u1ec7t l\u00e0 trong c\u00e1c thu\u1eadt to\u00e1n, c\u1ea5u tr\u00fac d\u1eef li\u1ec7u. Logarit nh\u1ecb ph\u00e2n k\u00fd hi\u1ec7u l\u00e0 <\/span><span style=\"font-weight: 400;\">log<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">.\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">\u0110\u1ed1i v\u1edbi ph\u01b0\u01a1ng tr\u00ecnh logarit c\u00f3 c\u01a1 s\u1ed1 a d\u01b0\u01a1ng, kh\u00e1c 1 th\u00ec ph\u01b0\u01a1ng tr\u00ecnh logarit c\u00f3 d\u1ea1ng <\/span><span style=\"font-weight: 400;\">log<\/span><span style=\"font-weight: 400;\">a<\/span><span style=\"font-weight: 400;\">x <\/span><span style=\"font-weight: 400;\">= b. V\u1ebf tr\u00e1i c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh logarit c\u01a1 b\u1ea3n lu\u00f4n c\u00f3 nghi\u1ec7m duy nh\u1ea5t l\u00e0 <\/span><span style=\"font-weight: 400;\">x = a<\/span><span style=\"font-weight: 400;\">b<\/span><span style=\"font-weight: 400;\">.\u00a0<\/span><\/li>\n<\/ul>\n<h2><span style=\"font-weight: 400;\">C\u00e1c c\u00f4ng th\u1ee9c li\u00ean quan \u0111\u1ebfn logarit<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Nh\u01b0 v\u1eady c\u00e1c b\u1ea1n \u0111\u00e3 n\u1eafm \u0111\u01b0\u1ee3c <\/span><b>logarit l\u00e0 g\u00ec. <\/b><span style=\"font-weight: 400;\">Sau \u0111\u00e2y, ch\u00fang ta c\u00f9ng t\u00ecm hi\u1ec3u c\u00e1c c\u00f4ng th\u1ee9c t\u00ednh logarit \u00e1p d\u1ee5ng gi\u1ea3i t\u1eebng d\u1ea1ng to\u00e1n c\u1ee5 th\u1ec3.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">C\u00f3 2 quy t\u1eafc t\u00ednh logarit quan tr\u1ecdng d\u00f9ng \u0111\u1ec3 t\u00ednh ph\u01b0\u01a1ng tr\u00ecnh logarit \u0111\u00f3 l\u00e0 quy t\u1eafc c\u1ee7a m\u1ed9t t\u00edch v\u00e0 quy t\u1eafc c\u1ee7a 1 lu\u1ef9 th\u1eeba. \u0110\u1ec3 t\u00ednh logarit c\u1ee7a m\u1ed9t t\u00edch ta \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c <\/span><span style=\"font-weight: 400;\">log(ab) = log(a) + log(b).<\/span><span style=\"font-weight: 400;\"> \u0110i\u1ec1u ki\u1ec7n \u0111\u1ec3 t\u00ednh h\u00e0m n\u00e0y l\u00e0 a,b \u0111\u1ec1u l\u00e0 s\u1ed1 d\u01b0\u01a1ng tuy nhi\u00ean 0 &lt; a kh\u00e1c 1.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Quy t\u1eafc t\u00ednh logarit c\u1ee7a m\u1ed9t lu\u1ef9 th\u1eeba c\u00f3 c\u00f4ng th\u1ee9c <\/span><span style=\"font-weight: 400;\">log<\/span><span style=\"font-weight: 400;\">a<\/span><span style=\"font-weight: 400;\">b =<\/span><span style=\"font-weight: 400;\">lo<\/span><span style=\"font-weight: 400;\">a<\/span><span style=\"font-weight: 400;\">b.<\/span><span style=\"font-weight: 400;\"> \u0110i\u1ec1u ki\u1ec7n l\u00e0 a,b l\u00e0 s\u1ed1 d\u01b0\u01a1ng v\u1edbi 0 &lt; a kh\u00e1c 1.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh, c\u00e1c b\u1ea1n c\u1ea7n l\u01b0u \u00fd th\u00eam m\u1ed9t s\u1ed1 c\u00f4ng th\u1ee9c nh\u01b0 sau:<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-15.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-15-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-15-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"size-full wp-image-379830 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-15.jpg\" alt=\"logarit-la-gi-15\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-15.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-15-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-15-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h2><span style=\"font-weight: 400;\">C\u00e1c ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Nh\u01b0 v\u1eady, c\u00e1c b\u1ea1n \u0111\u00e3 n\u1eafm \u0111\u01b0\u1ee3c <\/span><b>logarit l\u00e0 g\u00ec. <\/b><span style=\"font-weight: 400;\">Hi\u1ec7n nay c\u00f3 c\u00e1c d\u00f2ng m\u00e1y hi\u1ec7n \u0111\u1ea1i nh\u01b0 Casio fx-570VN Plus, Casio fx-580VN X \u0111\u1ec3 gi\u1ea3i c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh logarit. Thay v\u00ec ph\u1ea3i t\u00ednh tay c\u00e1c b\u01b0\u1edbc ph\u1ee9c t\u1ea1p, m\u00e1y t\u00ednh gi\u00fap b\u1ea1n gi\u1ea3i nhanh v\u00e0 ti\u1ebft ki\u1ec7m th\u1eddi gian. M\u00e1y t\u00ednh cung c\u1ea5p k\u1ebft qu\u1ea3 v\u1edbi \u0111\u1ed9 ch\u00ednh x\u00e1c cao, tr\u00e1nh sai s\u00f3t khi t\u00ednh tay, \u0111\u1eb7c bi\u1ec7t khi g\u1eb7p c\u00e1c gi\u00e1 tr\u1ecb ph\u1ee9c t\u1ea1p. Tuy nhi\u00ean, c\u00e1c b\u1ea1n c\u1ea7n hi\u1ec3u l\u00fd thuy\u1ebft c\u01a1 b\u1ea3n, sau \u0111\u00e2y ch\u00fang t\u00f4i s\u1ebd h\u01b0\u1edbng d\u1eabn c\u00e1c ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit.\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">S\u1eed d\u1ee5ng CALC\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh m\u00e0 b\u1ea1n tr\u00ecnh b\u00e0y l\u00e0 m\u1ed9t c\u00e1ch kh\u00e1 tr\u1ef1c quan v\u00e0 nhanh ch\u00f3ng \u0111\u1ec3 t\u00ecm nghi\u1ec7m. \u0110\u00e2y l\u00e0 c\u00e1ch ti\u1ebfp c\u1eadn s\u1eed d\u1ee5ng ch\u1ee9c n\u0103ng CALC (t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c v\u1edbi c\u00e1c gi\u00e1 tr\u1ecb c\u1ee5 th\u1ec3) tr\u00ean m\u00e1y t\u00ednh c\u1ea7m tay, \u0111\u1eb7c bi\u1ec7t h\u1eefu \u00edch trong c\u00e1c b\u00e0i to\u00e1n tr\u1eafc nghi\u1ec7m.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B\u01b0\u1edbc 1: \u0110\u1ea7u ti\u00ean, c\u00e1c b\u1ea1n c\u1ea7n th\u1ef1c hi\u1ec7n chuy\u1ec3n ph\u01b0\u01a1ng tr\u00ecnh v\u1ec1 1 v\u1ebf -&gt; ti\u1ebfn h\u00e0nh nh\u1eadp ph\u01b0\u01a1ng tr\u00ecnh.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B\u01b0\u1edbc 2: Ti\u1ebfp theo, c\u00e1c b\u1ea1n s\u1ebd nh\u1ea5n CALC r\u1ed3i thay th\u1ebf l\u1ea7n l\u01b0\u1ee3t c\u00e1c \u0111\u00e1p \u00e1n v\u00e0o ph\u01b0\u01a1ng tr\u00ecnh -&gt; b\u1ea5m d\u1ea5u =. K\u1ebft qu\u1ea3 n\u00e0o b\u1eb1ng 0 th\u00ec \u0111\u00e2y l\u00e0 \u0111\u00e1p \u00e1n \u0111\u00fang.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ch\u00fang t\u00f4i s\u1ebd l\u1ea5y v\u00ed d\u1ee5 c\u1ee5 th\u1ec3 \u0111\u1ec3 c\u00e1c b\u1ea1n d\u1ec5 d\u00e0ng h\u00ecnh dung v\u1ec1 <\/span><b>logarit l\u00e0 g\u00ec<\/b><span style=\"font-weight: 400;\"> c\u0169ng nh\u01b0 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh:\u00a0<\/span><\/p>\n<p><strong>V\u00ed d\u1ee5: Nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh\u00a0<\/strong><\/p>\n<p><span style=\"font-weight: 400;\">log2\u200bx . log4\u200bx . log6\u200bx = log2\u200bx . log4\u200bx + log4x . log6\u200bx + log6\u200bx.log2\u200bx<\/span><\/p>\n<ol>\n<li><span style=\"font-weight: 400;\"> {1}<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> {2,4,6}<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> {1,12}<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> {1,48}<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">\u0110\u1ea7u ti\u00ean, ch\u00fang ta s\u1ebd \u0111\u01b0a t\u1ea5t c\u1ea3 v\u1ec1 m\u1ed9t v\u1ebf:\u00a0\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">log2\u200bx . log4\u200bx . log6\u200bx \u2212 (log2\u200bx . log4\u200bx + log4\u200bx . log6\u200bx + log6\u200bx . log2\u200bx) = 0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-3.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-3-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-3-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"size-full wp-image-379818 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-3.jpg\" alt=\"logarit-la-gi-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">Ti\u1ebfp theo c\u00e1c b\u1ea1n s\u1ebd nh\u1eadp bi\u1ec3u th\u1ee9c v\u00e0o m\u00e1y t\u00ednh, ki\u1ec3m tra t\u1eebng gi\u00e1 tr\u1ecb x t\u01b0\u01a1ng \u1ee9ng v\u1edbi \u0111\u00e1p \u00e1n A, B, C, D b\u1eb1ng c\u00e1ch b\u1ea5m CALC.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">T\u1ea1i x = 1, ph\u01b0\u01a1ng tr\u00ecnh b\u1eb1ng 0, n\u00ean x = 1 l\u00e0 nghi\u1ec7m. Lo\u1ea1i \u0111\u01b0\u1ee3c \u0111\u00e1p \u00e1n B v\u00ec n\u00f3 kh\u00f4ng ch\u1ee9a nghi\u1ec7m x = 1.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-4.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-4-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-4-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-379819 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-4.jpg\" alt=\"logarit-la-gi-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">T\u1ea1i x = 12, k\u1ebft qu\u1ea3 kh\u00e1c 0, n\u00ean lo\u1ea1i \u0111\u00e1p \u00e1n C.<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-5.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-5-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-5-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-379820 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-5.jpg\" alt=\"logarit-la-gi-5\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">T\u1ea1i x = 48, ph\u01b0\u01a1ng tr\u00ecnh b\u1eb1ng 0, n\u00ean x = 48 l\u00e0 nghi\u1ec7m. V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0 D<\/span><b>.\u00a0<\/b><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-6.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-6-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-6-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-379821 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-6.jpg\" alt=\"logarit-la-gi-6\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-6.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-6-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-6-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h3><span style=\"font-weight: 400;\">S\u1eed d\u1ee5ng t\u00ednh n\u0103ng SOLVE\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">T\u1edbi \u0111\u00e2y ch\u1eafc h\u1eb3n c\u00e1c b\u1ea1n \u0111\u00e3 bi\u1ebft <\/span><b>logarit l\u00e0 g\u00ec. <\/b><span style=\"font-weight: 400;\">T\u00ednh n\u0103ng SOLVE tr\u00ean m\u00e1y t\u00ednh c\u1ea7m tay l\u00e0 c\u00f4ng c\u1ee5 m\u1ea1nh m\u1ebd \u0111\u1ec3 gi\u1ea3i nhanh ph\u01b0\u01a1ng tr\u00ecnh v\u00e0 t\u00ecm nghi\u1ec7m X trong m\u1ed9t s\u1ed1 b\u00e0i to\u00e1n, \u0111\u1eb7c bi\u1ec7t l\u00e0 trong c\u00e1c b\u00e0i tr\u1eafc nghi\u1ec7m.\u00a0<\/span><\/p>\n<h4><span style=\"font-weight: 400;\">C\u00e1ch d\u00f9ng<\/span><\/h4>\n<p><span style=\"font-weight: 400;\">T\u00ednh n\u0103ng n\u00e0y c\u00f3 th\u1ec3 gi\u1ea3i c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh ph\u1ee9c t\u1ea1p m\u00e0 kh\u00f4ng c\u1ea7n ph\u1ea3i th\u1ef1c hi\u1ec7n nhi\u1ec1u b\u01b0\u1edbc trung gian. C\u00e1c b\u1ea1n ch\u1ec9 c\u1ea7n nh\u1eadp ph\u01b0\u01a1ng tr\u00ecnh v\u00e0o m\u00e1y t\u00ednh, \u0111\u1eb7t gi\u00e1 tr\u1ecb ban \u0111\u1ea7u (initial guess) cho x v\u00e0 m\u00e1y s\u1ebd t\u00ednh to\u00e1n nghi\u1ec7m g\u1ea7n nh\u1ea5t.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Tuy nhi\u00ean, v\u1edbi nh\u1eefng nghi\u1ec7m c\u00f3 gi\u00e1 tr\u1ecb ph\u1ee9c t\u1ea1p ho\u1eb7c\u00a0 s\u1ed1 v\u00f4 t\u1ef7 (nh\u01b0 c\u0103n b\u1eadc 2, \u03c0,e), m\u00e1y t\u00ednh c\u00f3 th\u1ec3 kh\u00f4ng hi\u1ec3n th\u1ecb ch\u00ednh x\u00e1c ho\u00e0n to\u00e0n ho\u1eb7c ch\u1ec9 l\u00e0m tr\u00f2n \u0111\u1ebfn m\u1ed9t s\u1ed1 ch\u1eef s\u1ed1 nh\u1ea5t \u0111\u1ecbnh, g\u00e2y sai l\u1ec7ch trong m\u1ed9t s\u1ed1 tr\u01b0\u1eddng h\u1ee3p. SOLVE ch\u1ec9 t\u00ecm \u0111\u01b0\u1ee3c nghi\u1ec7m g\u1ea7n nh\u1ea5t so v\u1edbi gi\u00e1 tr\u1ecb ban \u0111\u1ea7u m\u00e0 b\u1ea1n nh\u1eadp v\u00e0o. \u0110i\u1ec1u n\u00e0y c\u00f3 ngh\u0129a l\u00e0 n\u1ebfu ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 nhi\u1ec1u nghi\u1ec7m, b\u1ea1n c\u1ea7n th\u1eed nhi\u1ec1u gi\u00e1 tr\u1ecb ban \u0111\u1ea7u \u0111\u1ec3 c\u00f3 th\u1ec3 t\u00ecm ra c\u00e1c nghi\u1ec7m kh\u00e1c.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B\u01b0\u1edbc 1: Tr\u01b0\u1edbc ti\u00ean c\u00e1c b\u1ea1n c\u1ea7n chuy\u1ec3n ph\u01b0\u01a1ng tr\u00ecnh v\u1ec1 c\u00f9ng m\u1ed9t v\u1ebf r\u1ed3i nh\u1eadp v\u00e0o m\u00e1y t\u00ednh.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B\u01b0\u1edbc 2: Ti\u1ebfp theo nh\u1ea5n SHIFT + CALC.\u00a0\u00a0<\/span><\/p>\n<h4><strong>V\u00ed d\u1ee5<\/strong><\/h4>\n<p><span style=\"font-weight: 400;\">Cho ph\u01b0\u01a1ng tr\u00ecnh log9\u200b(x)=log16\u200b(a+12log9\u200b(x)). T\u00ednh x. D\u00e0nh cho nh\u1eefng ai t\u00ecm hi\u1ec3u <\/span><b>logarit l\u00e0 g\u00ec<\/b><span style=\"font-weight: 400;\"> th\u00ec \u0111\u00e2y ch\u00ednh l\u00e0 ph\u01b0\u01a1ng tr\u00ecnh logarit.\u00a0\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u1ea7u ti\u00ean chuy\u1ec3n t\u1ea5t c\u1ea3 c\u00e1c ph\u1ea7n v\u1ec1 m\u1ed9t v\u1ebf \u0111\u1ec3 c\u00f3 ph\u01b0\u01a1ng tr\u00ecnh:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">log9\u200b(x)\u2212log16\u200b(a + 12 log9\u200b(x))=0.<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-7.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-7-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-7-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-379822 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-7.jpg\" alt=\"logarit-la-gi-7\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-7.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-7-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-7-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">Ti\u1ebfp theo, c\u00e1c b\u1ea1n s\u1ebd nh\u1eadp ph\u01b0\u01a1ng tr\u00ecnh v\u00e0o m\u00e1y t\u00ednh -&gt; nh\u1ea5n SHIFT + CALC. M\u00e1y t\u00ednh s\u1ebd hi\u1ec3n th\u1ecb th\u00f4ng b\u00e1o &#8220;Solve for X?&#8221;. B\u1ea1n c\u00f3 th\u1ec3 nh\u1eadp gi\u00e1 tr\u1ecb x kh\u1edfi \u0111\u1ea7u b\u1ea5t k\u1ef3.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Sau khi b\u1ea5m =, m\u00e1y t\u00ednh s\u1ebd \u0111\u01b0a ra k\u1ebft qu\u1ea3 nghi\u1ec7m g\u1ea7n \u0111\u00fang. Trong v\u00ed d\u1ee5 n\u00e0y,\u00a0 x \u2248 39.4622117. N\u1ebfu \u0111\u00e2y l\u00e0 m\u1ed9t b\u00e0i to\u00e1n tr\u1eafc nghi\u1ec7m, b\u1ea1n c\u00f3 th\u1ec3 so s\u00e1nh k\u1ebft qu\u1ea3 n\u00e0y v\u1edbi c\u00e1c \u0111\u00e1p \u00e1n \u0111\u1ec3 ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-8.png.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-8-300x169.png.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-8-768x432.png.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-379823 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-8.png\" alt=\"logarit-la-gi-8\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-8.png 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-8-300x169.png 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-8-768x432.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h3><span style=\"font-weight: 400;\">S\u1eed d\u1ee5ng t\u00ednh n\u0103ng TABLE\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Ph\u01b0\u01a1ng ph\u00e1p s\u1eed d\u1ee5ng t\u00ednh n\u0103ng TABLE tr\u00ean m\u00e1y t\u00ednh c\u1ea7m tay gi\u00fap d\u00f2 nghi\u1ec7m g\u1ea7n \u0111\u00fang c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh v\u00e0 r\u1ea5t h\u1eefu \u00edch cho c\u00e1c b\u00e0i to\u00e1n logarit ph\u1ee9c t\u1ea1p. V\u00ed d\u1ee5 t\u00ednh c\u00e1c nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh: log3\u200b(3x) . log3\u200b(9x) = 4.\u00a0<\/span><\/p>\n<h4><span style=\"font-weight: 400;\">B\u01b0\u1edbc 1: Nh\u1eadp h\u00e0m s\u1ed1.<\/span><\/h4>\n<ul>\n<li><span style=\"font-weight: 400;\">\u0110\u1ea7u ti\u00ean, c\u00e1c b\u1ea1n h\u00e3y b\u1ea5m MODE -&gt; ch\u1ecdn s\u1ed1 7 \u0111\u1ec3 chuy\u1ec3n m\u00e1y t\u00ednh v\u1ec1 ch\u1ebf \u0111\u1ed9 TABLE.\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">Ti\u1ebfp theo, c\u00e1c b\u1ea1n s\u1ebd nh\u1eadp h\u00e0m s\u1ed1 d\u01b0\u1edbi d\u1ea1ng f(x)=log3\u200b(3x) . log3\u200b(9x) \u2212 4.\u00a0<\/span><\/li>\n<\/ul>\n<h4><span style=\"font-weight: 400;\">B\u01b0\u1edbc 2: X\u00e1c \u0111\u1ecbnh kho\u1ea3ng d\u00f2.<\/span><\/h4>\n<p><span style=\"font-weight: 400;\">Trong ph\u1ea7n gi\u1edbi thi\u1ec7u <\/span><b>logarit l\u00e0 g\u00ec,<\/b><span style=\"font-weight: 400;\"> ch\u00fang t\u00f4i c\u0169ng \u0111\u1ec1 c\u1eadp \u0111\u1ebfn ph\u01b0\u01a1ng ph\u00e1p d\u00f2 nghi\u1ec7m. C\u00e1c b\u1ea1n s\u1ebd nh\u1ea5n d\u1ea5u =, b\u1ea5m ch\u1ecdn START = 0, END = 29 v\u00e0 STEP = 1. Sau \u0111\u00f3 c\u00e1c b\u1ea1n ti\u1ebfp t\u1ee5c b\u1ea5m d\u1ea5u = \u0111\u1ec3 m\u00e1y t\u00ednh hi\u1ec3n b\u1ecb gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1.\u00a0<\/span><\/p>\n<h4><span style=\"font-weight: 400;\">B\u01b0\u1edbc 3 T\u00ecm kho\u1ea3ng nghi\u1ec7m<\/span><\/h4>\n<p><span style=\"font-weight: 400;\">C\u00e1c b\u1ea1n h\u00e3y d\u00f2 c\u1ed9t f(x) \u0111\u1ec3 t\u00ecm nh\u1eefng kho\u1ea3ng m\u00e0 h\u00e0m s\u1ed1 \u0111\u1ed5i d\u1ea5u (t\u1eeb \u00e2m sang d\u01b0\u01a1ng ho\u1eb7c t\u1eeb d\u01b0\u01a1ng sang \u00e2m). Ch\u1eb3ng h\u1ea1n nh\u01b0 b\u1ea3ng gi\u00e1 tr\u1ecb c\u00f3 th\u1ec3 cho th\u1ea5y h\u00e0m s\u1ed1 \u0111\u1ed5i d\u1ea5u trong kho\u1ea3ng (0,1) v\u00e0 (1,2). \u0110\u00e2y l\u00e0 nh\u1eefng kho\u1ea3ng m\u00e0 h\u00e0m s\u1ed1 c\u00f3 th\u1ec3 c\u00f3 nghi\u1ec7m.<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-9.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-9-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-9-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-379824 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-9.jpg\" alt=\"logarit-la-gi-9\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-9.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-9-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-9-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h4><span style=\"font-weight: 400;\">B\u01b0\u1edbc 4: Thu h\u1eb9p kho\u1ea3ng nghi\u1ec7m.<\/span><\/h4>\n<p><span style=\"font-weight: 400;\">Sau khi x\u00e1c \u0111\u1ecbnh kho\u1ea3ng nghi\u1ec7m, ti\u1ebfp t\u1ee5c thu h\u1eb9p kho\u1ea3ng b\u1eb1ng c\u00e1ch b\u1ea5m AC \u0111\u1ec3 nh\u1eadp l\u1ea1i. V\u1edbi kho\u1ea3ng (0,1), ch\u1ecdn START = 0 v\u00e0 END = 1 v\u1edbi STEP = 1\/29. B\u1ea5m <\/span><b>=<\/b><span style=\"font-weight: 400;\"> \u0111\u1ec3 hi\u1ec3n th\u1ecb b\u1ea3ng gi\u00e1 tr\u1ecb m\u1edbi.<\/span><\/p>\n<figure id=\"attachment_379825\" aria-describedby=\"caption-attachment-379825\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-10.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-10-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-10-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-379825 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-10.jpg\" alt=\"logarit-la-gi-10\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-10.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-10-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-10-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><figcaption id=\"caption-attachment-379825\" class=\"wp-caption-text\">Thu h\u1eb9p kho\u1ea3ng nghi\u1ec7m Logarit l\u00e0 g\u00ec<\/figcaption><\/figure>\n<h4><span style=\"font-weight: 400;\">B\u01b0\u1edbc 5: T\u00ecm nghi\u1ec7m ch\u00ednh x\u00e1c h\u01a1n.<\/span><\/h4>\n<p><span style=\"font-weight: 400;\">D\u00f2 l\u1ea1i b\u1ea3ng gi\u00e1 tr\u1ecb trong kho\u1ea3ng (0,0.0344)(0, 0.0344)(0,0.0344), ti\u1ebfp t\u1ee5c ch\u1ecdn START = 0 v\u00e0 END = 0.0344 v\u1edbi STEP = 0.0344\/29.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ta c\u00f3 th\u1ec3 t\u00ecm th\u1ea5y nghi\u1ec7m n\u1eb1m trong kho\u1ea3ng (0.0189\u22120.0201).\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-11.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-11-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-11-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-379826 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-11.jpg\" alt=\"logarit-la-gi-11\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-11.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-11-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-11-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h4><span style=\"font-weight: 400;\">B\u01b0\u1edbc 6: L\u1eb7p l\u1ea1i \u0111\u1ec3 t\u00ecm nghi\u1ec7m ch\u00ednh x\u00e1c.<\/span><\/h4>\n<p><span style=\"font-weight: 400;\">L\u1eb7p l\u1ea1i qu\u00e1 tr\u00ecnh v\u1edbi START = 0.0189 v\u00e0 END = 0.0201, STEP = (0.0201 &#8211; 0.0189)\/29.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">T\u00ecm \u0111\u01b0\u1ee3c nghi\u1ec7m g\u1ea7n \u0111\u00fang \u0111\u1ea7u ti\u00ean l\u00e0 x1\u22480.01997586207.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-12.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-12-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-12-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-379827 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-12.jpg\" alt=\"logarit-la-gi-12\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-12.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-12-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-12-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h4><span style=\"font-weight: 400;\">B\u01b0\u1edbc 7: X\u00e9t kho\u1ea3ng th\u1ee9 hai.<\/span><\/h4>\n<p><span style=\"font-weight: 400;\">T\u01b0\u01a1ng t\u1ef1 v\u1edbi kho\u1ea3ng (1,2), t\u00ecm nghi\u1ec7m th\u1ee9 hai l\u00e0 x2\u22481.852482759.\u00a0<\/span><\/p>\n<figure id=\"attachment_379828\" aria-describedby=\"caption-attachment-379828\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-13.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-13-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-13-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-379828 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-13.jpg\" alt=\"logarit-la-gi-13\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-13.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-13-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-13-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><figcaption id=\"caption-attachment-379828\" class=\"wp-caption-text\">X\u00e9t kho\u1ea3ng th\u1ee9 hai \u0111\u1ec3 t\u00ecm nghi\u1ec7m Logarit l\u00e0 g\u00ec<\/figcaption><\/figure>\n<h4><span style=\"font-weight: 400;\">B\u01b0\u1edbc 8: T\u00ednh t\u00edch c\u00e1c nghi\u1ec7m.<\/span><\/h4>\n<p><span style=\"font-weight: 400;\">Sau khi \u0111\u00e3 t\u00ecm \u0111\u01b0\u1ee3c hai nghi\u1ec7m, b\u1ea5m AC, nh\u1eadp t\u00edch c\u1ee7a hai nghi\u1ec7m: 0.01997586207\u00d71.852482759. K\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p t\u00ednh l\u00e0 t\u00edch c\u1ee7a hai nghi\u1ec7m, v\u00e0 \u0111\u00e2y ch\u00ednh l\u00e0 \u0111\u00e1p \u00e1n c\u1ee7a b\u00e0i to\u00e1n.<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-14.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-14-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2024\/08\/logarit-la-gi-14-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-379829 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-14.jpg\" alt=\"logarit-la-gi-14\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-14.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-14-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi-14-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h2><span style=\"font-weight: 400;\">M\u1ed9t s\u1ed1 l\u01b0u \u00fd\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Khi gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh c\u1ea7m tay, c\u1ea7n l\u01b0u \u00fd nh\u1eefng \u0111i\u1ec3m sau \u0111\u1ec3 \u0111\u1ea3m b\u1ea3o k\u1ebft qu\u1ea3 ch\u00ednh x\u00e1c v\u00e0 qu\u00e1 tr\u00ecnh gi\u1ea3i hi\u1ec7u qu\u1ea3:\u00a0<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400;\">Tr\u01b0\u1edbc khi nh\u1eadp v\u00e0o m\u00e1y t\u00ednh, lu\u00f4n chuy\u1ec3n ph\u01b0\u01a1ng tr\u00ecnh logarit v\u1ec1 d\u1ea1ng f(x) = 0. \u0110i\u1ec1u n\u00e0y gi\u00fap b\u1ea1n d\u1ec5 d\u00e0ng s\u1eed d\u1ee5ng c\u00e1c ch\u1ee9c n\u0103ng SOLVE ho\u1eb7c TABLE \u0111\u1ec3 t\u00ecm nghi\u1ec7m.\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">N\u1ebfu ph\u01b0\u01a1ng tr\u00ecnh ch\u1ee9a logarit v\u1edbi nhi\u1ec1u c\u01a1 s\u1ed1 kh\u00e1c nhau (nh\u01b0 log\u20613(x) v\u00e0 log9\u200b(x), c\u1ea7n chuy\u1ec3n \u0111\u1ed5i v\u1ec1 c\u00f9ng c\u01a1 s\u1ed1 tr\u01b0\u1edbc khi nh\u1eadp v\u00e0o m\u00e1y t\u00ednh. D\u00f9ng c\u00e1c c\u00f4ng th\u1ee9c logarit \u0111\u1ec3 \u0111\u1ed3ng nh\u1ea5t c\u01a1 s\u1ed1: loga(b) = logc(b)\/ logc(a).\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">T\u00ecm hi\u1ec3u <\/span><b>logarit l\u00e0 g\u00ec<\/b><span style=\"font-weight: 400;\"> c\u00e1c b\u1ea1n s\u1ebd bi\u1ebft bi\u1ec3u th\u1ee9c b\u00ean trong logarit ph\u1ea3i l\u1edbn h\u01a1n 0. \u0110\u1ea3m b\u1ea3o r\u1eb1ng b\u1ea1n ch\u1ec9 xem x\u00e9t nh\u1eefng gi\u00e1 tr\u1ecb nghi\u1ec7m th\u1ecfa m\u00e3n \u0111i\u1ec1u ki\u1ec7n x\u00e1c \u0111\u1ecbnh c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh.\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">Khi s\u1eed d\u1ee5ng t\u00ednh n\u0103ng SOLVE, b\u1ea1n s\u1ebd c\u1ea7n nh\u1eadp gi\u00e1 tr\u1ecb xxx kh\u1edfi \u0111\u1ea7u \u0111\u1ec3 m\u00e1y t\u00ednh t\u00ecm nghi\u1ec7m. Ch\u1ecdn gi\u00e1 tr\u1ecb kh\u1edfi \u0111\u1ea7u g\u1ea7n v\u1edbi nghi\u1ec7m th\u1eadt s\u1ef1 c\u00f3 th\u1ec3 gi\u00fap m\u00e1y t\u00ednh h\u1ed9i t\u1ee5 nhanh h\u01a1n v\u00e0o nghi\u1ec7m \u0111\u00fang.\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">M\u00e1y t\u00ednh c\u1ea7m tay th\u01b0\u1eddng tr\u1ea3 v\u1ec1 c\u00e1c k\u1ebft qu\u1ea3 l\u1ebb khi s\u1eed d\u1ee5ng ch\u1ee9c n\u0103ng SOLVE ho\u1eb7c CALC. Khi g\u1eb7p k\u1ebft qu\u1ea3 l\u1ebb, h\u00e3y ki\u1ec3m tra nghi\u1ec7m g\u1ea7n \u0111\u00fang v\u00e0 \u0111\u1ed1i chi\u1ebfu v\u1edbi c\u00e1c \u0111\u00e1p \u00e1n n\u1ebfu gi\u1ea3i b\u00e0i tr\u1eafc nghi\u1ec7m.\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">T\u00ednh n\u0103ng TABLE h\u1eefu \u00edch khi ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 nhi\u1ec1u nghi\u1ec7m ho\u1eb7c nghi\u1ec7m n\u1eb1m trong m\u1ed9t kho\u1ea3ng x\u00e1c \u0111\u1ecbnh. Tuy nhi\u00ean, b\u1ea1n c\u1ea7n thu h\u1eb9p kho\u1ea3ng nghi\u1ec7m nhi\u1ec1u l\u1ea7n \u0111\u1ec3 \u0111\u1ea1t \u0111\u01b0\u1ee3c \u0111\u1ed9 ch\u00ednh x\u00e1c cao.\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">Ph\u01b0\u01a1ng tr\u00ecnh logarit c\u00f3 th\u1ec3 c\u00f3 nghi\u1ec7m \u0111\u1eb7c bi\u1ec7t nh\u01b0 x=0, x=1, ho\u1eb7c nghi\u1ec7m kh\u00f4ng x\u00e1c \u0111\u1ecbnh. C\u00e1c b\u1ea1n h\u00e3y c\u1ea9n tr\u1ecdng khi k\u1ebft lu\u1eadn v\u1ec1 nghi\u1ec7m n\u00e0y.\u00a0<\/span><\/li>\n<\/ul>\n<h2><span style=\"font-weight: 400;\">T\u1ea1m K\u1ebft\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">B\u00e0i vi\u1ebft tr\u00ean, ch\u00fang t\u00f4i \u0111\u00e3 gi\u1ea3i \u0111\u00e1p <\/span>logarit l\u00e0 g\u00ec v\u00e0 h<span style=\"font-weight: 400;\">\u01b0\u1edbng d\u1eabn gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit tr\u00ean m\u00e1y t\u00ednh cho c\u00e1c b\u1ea1n tham kh\u1ea3o. Vi\u1ec7c gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit r\u1ea5t h\u1eefu \u00edch khi c\u00e1c b\u1ea1n l\u00e0m b\u00e0i t\u1eadp tr\u1eafc nghi\u1ec7m ho\u1eb7c mu\u1ed1n ki\u1ec3m tra k\u1ebft qu\u1ea3 c\u1ee7a m\u00ecnh. C\u00e1c b\u1ea1n h\u00e3y th\u1eed nghi\u1ec7m v\u00e0 l\u1ef1a ch\u1ecdn c\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh ph\u00f9 h\u1ee3p nh\u1ea5t, trong qu\u00e1 tr\u00ecnh nh\u1eadp h\u00e0m c\u1ea7n \u0111\u1ec3 \u00fd c\u00e1c d\u1ea5u, tr\u00e1nh x\u1ea3y ra nh\u1ea7m l\u1eabn. H\u00e3y ti\u1ebfp t\u1ee5c theo d\u00f5i ch\u00fang t\u00f4i tr\u00ean fanpage <\/span><b>Ho\u00e0ng H\u00e0 Mobile<\/b><span style=\"font-weight: 400;\">, k\u00eanh Youtube <\/span><b>Ho\u00e0ng H\u00e0 Channel<\/b><span style=\"font-weight: 400;\"> \u0111\u1ec3 kh\u00f4ng b\u1ecf l\u1ee1 nh\u1eefng th\u00f4ng tin th\u00fa v\u1ecb nh\u00e9!\u00a0<\/span><\/p>\n<p><strong>XEM TH\u00caM:\u00a0<\/strong><\/p>\n<ul>\n<li><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/tia-phan-giac-la-gi\/\">Tia ph\u00e2n gi\u00e1c l\u00e0 g\u00ec? \u0110\u01b0\u1eddng ph\u00e2n gi\u00e1c l\u00e0 g\u00ec? T\u00ednh ch\u1ea5t \u0111\u01b0\u1eddng ph\u00e2n gi\u00e1c c\u1ee7a tam gi\u00e1c<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/tham-so-la-gi\/\">Tham s\u1ed1 l\u00e0 g\u00ec? T\u1ea5t c\u1ea3 nh\u1eefng \u0111i\u1ec1u b\u1ea1n c\u1ea7n bi\u1ebft v\u1ec1 tham s\u1ed1<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/pte-la-gi\/\">PTE l\u00e0 g\u00ec? Nh\u1eefng th\u00f4ng tin b\u1ea1n n\u00ean bi\u1ebft v\u1ec1 ch\u1ee9ng ch\u1ec9 PTE<\/a><\/strong><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Logarit l\u00e0 g\u00ec l\u00e0 v\u1ea5n \u0111\u1ec1 \u0111\u01b0\u1ee3c c\u00e1c b\u1ea1n h\u1ecdc sinh \u0111\u1eb7c bi\u1ec7t quan t\u00e2m. \u0110\u00e2y l\u00e0 m\u1ed9t d\u1ea1ng to\u00e1n \u0111\u01b0\u1ee3c \u0111\u00e1nh gi\u00e1 kh\u00e1 kh\u00f3, v\u00ec c\u00e1c b\u1ea1n d\u1ec5 nh\u1ea7m l\u1eabn c\u00f4ng th\u1ee9c. Hi\u1ec3u \u0111\u01b0\u1ee3c \u0111i\u1ec1u n\u00e0y, b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y ch\u00fang t\u00f4i s\u1ebd chia s\u1ebb c\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh. C\u00e1c [&hellip;]<\/p>\n","protected":false},"author":73,"featured_media":379816,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3910,30453],"tags":[],"class_list":["post-379553","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-kham-pha","category-kien-thuc"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.2 (Yoast SEO v24.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Logarit l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh<\/title>\n<meta name=\"description\" content=\"B\u1ea1n \u0111ang t\u00ecm hi\u1ec3u logarit l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh? C\u00f9ng ch\u00fang t\u00f4i t\u00ecm hi\u1ec3u trong b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y nh\u00e9!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/\" \/>\n<meta property=\"og:locale\" content=\"vi_VN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Logarit l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh\" \/>\n<meta property=\"og:description\" content=\"B\u1ea1n \u0111ang t\u00ecm hi\u1ec3u logarit l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh? C\u00f9ng ch\u00fang t\u00f4i t\u00ecm hi\u1ec3u trong b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y nh\u00e9!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/\" \/>\n<meta property=\"og:site_name\" content=\"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/hoanghamobilecom\" \/>\n<meta property=\"article:published_time\" content=\"2024-08-27T09:30:50+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"628\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"H\u1ed3ng Th\u01a1\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u0110\u01b0\u1ee3c vi\u1ebft b\u1edfi\" \/>\n\t<meta name=\"twitter:data1\" content=\"H\u1ed3ng Th\u01a1\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u01af\u1edbc t\u00ednh th\u1eddi gian \u0111\u1ecdc\" \/>\n\t<meta name=\"twitter:data2\" content=\"15 ph\u00fat\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/\"},\"author\":{\"name\":\"H\u1ed3ng Th\u01a1\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/person\/fca08f68130533c2fcfd9928f5016a15\"},\"headline\":\"Logarit l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh\",\"datePublished\":\"2024-08-27T09:30:50+00:00\",\"dateModified\":\"2024-08-27T09:30:50+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/\"},\"wordCount\":3089,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#organization\"},\"image\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi.jpg\",\"articleSection\":[\"Kh\u00e1m Ph\u00e1\",\"Ki\u1ebfn Th\u1ee9c\"],\"inLanguage\":\"vi\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/#respond\"]}],\"copyrightYear\":\"2024\",\"copyrightHolder\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#organization\"}},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/\",\"url\":\"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/\",\"name\":\"Logarit l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh\",\"isPartOf\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi.jpg\",\"datePublished\":\"2024-08-27T09:30:50+00:00\",\"dateModified\":\"2024-08-27T09:30:50+00:00\",\"description\":\"B\u1ea1n \u0111ang t\u00ecm hi\u1ec3u logarit l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh? C\u00f9ng ch\u00fang t\u00f4i t\u00ecm hi\u1ec3u trong b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y nh\u00e9!\",\"breadcrumb\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/#breadcrumb\"},\"inLanguage\":\"vi\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"vi\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/#primaryimage\",\"url\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi.jpg\",\"contentUrl\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi.jpg\",\"width\":1200,\"height\":628,\"caption\":\"logarit-la-gi\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Trang ch\u1ee7\",\"item\":\"https:\/\/hoanghamobile.com\/tin-tuc\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Logarit l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#website\",\"url\":\"https:\/\/hoanghamobile.com\/tin-tuc\/\",\"name\":\"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/hoanghamobile.com\/tin-tuc\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"vi\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#organization\",\"name\":\"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile\",\"url\":\"https:\/\/hoanghamobile.com\/tin-tuc\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"vi\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2021\/12\/logo-text.png\",\"contentUrl\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2021\/12\/logo-text.png\",\"width\":256,\"height\":37,\"caption\":\"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile\"},\"image\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/hoanghamobilecom\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/person\/fca08f68130533c2fcfd9928f5016a15\",\"name\":\"H\u1ed3ng Th\u01a1\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"vi\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/b74c49ea2aa5069714f9b552602efd03?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/b74c49ea2aa5069714f9b552602efd03?s=96&d=mm&r=g\",\"caption\":\"H\u1ed3ng Th\u01a1\"},\"description\":\"M\u00ecnh l\u00e0 Th\u01a1 - c\u00f4 g\u00e1i \u0111am m\u00ea vi\u1ebft l\u00e1ch, th\u00edch tr\u1ea3i nghi\u1ec7m nh\u1eefng s\u1ea3n ph\u1ea9m c\u00f4ng ngh\u1ec7 m\u1edbi!\",\"url\":\"https:\/\/hoanghamobile.com\/tin-tuc\/author\/hong-tho\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Logarit l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh","description":"B\u1ea1n \u0111ang t\u00ecm hi\u1ec3u logarit l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh? C\u00f9ng ch\u00fang t\u00f4i t\u00ecm hi\u1ec3u trong b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y nh\u00e9!","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/","og_locale":"vi_VN","og_type":"article","og_title":"Logarit l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh","og_description":"B\u1ea1n \u0111ang t\u00ecm hi\u1ec3u logarit l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh? C\u00f9ng ch\u00fang t\u00f4i t\u00ecm hi\u1ec3u trong b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y nh\u00e9!","og_url":"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/","og_site_name":"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile","article_publisher":"https:\/\/www.facebook.com\/hoanghamobilecom","article_published_time":"2024-08-27T09:30:50+00:00","og_image":[{"width":1200,"height":628,"url":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi.jpg","type":"image\/jpeg"}],"author":"H\u1ed3ng Th\u01a1","twitter_card":"summary_large_image","twitter_misc":{"\u0110\u01b0\u1ee3c vi\u1ebft b\u1edfi":"H\u1ed3ng Th\u01a1","\u01af\u1edbc t\u00ednh th\u1eddi gian \u0111\u1ecdc":"15 ph\u00fat"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/#article","isPartOf":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/"},"author":{"name":"H\u1ed3ng Th\u01a1","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/person\/fca08f68130533c2fcfd9928f5016a15"},"headline":"Logarit l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh","datePublished":"2024-08-27T09:30:50+00:00","dateModified":"2024-08-27T09:30:50+00:00","mainEntityOfPage":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/"},"wordCount":3089,"commentCount":0,"publisher":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#organization"},"image":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/#primaryimage"},"thumbnailUrl":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi.jpg","articleSection":["Kh\u00e1m Ph\u00e1","Ki\u1ebfn Th\u1ee9c"],"inLanguage":"vi","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/#respond"]}],"copyrightYear":"2024","copyrightHolder":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#organization"}},{"@type":"WebPage","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/","url":"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/","name":"Logarit l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh","isPartOf":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#website"},"primaryImageOfPage":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/#primaryimage"},"image":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/#primaryimage"},"thumbnailUrl":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi.jpg","datePublished":"2024-08-27T09:30:50+00:00","dateModified":"2024-08-27T09:30:50+00:00","description":"B\u1ea1n \u0111ang t\u00ecm hi\u1ec3u logarit l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh? C\u00f9ng ch\u00fang t\u00f4i t\u00ecm hi\u1ec3u trong b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y nh\u00e9!","breadcrumb":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/#breadcrumb"},"inLanguage":"vi","potentialAction":[{"@type":"ReadAction","target":["https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/"]}]},{"@type":"ImageObject","inLanguage":"vi","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/#primaryimage","url":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi.jpg","contentUrl":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/08\/logarit-la-gi.jpg","width":1200,"height":628,"caption":"logarit-la-gi"},{"@type":"BreadcrumbList","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/logarit-la-gi\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Trang ch\u1ee7","item":"https:\/\/hoanghamobile.com\/tin-tuc\/"},{"@type":"ListItem","position":2,"name":"Logarit l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh logarit b\u1eb1ng m\u00e1y t\u00ednh"}]},{"@type":"WebSite","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#website","url":"https:\/\/hoanghamobile.com\/tin-tuc\/","name":"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile","description":"","publisher":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/hoanghamobile.com\/tin-tuc\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"vi"},{"@type":"Organization","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#organization","name":"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile","url":"https:\/\/hoanghamobile.com\/tin-tuc\/","logo":{"@type":"ImageObject","inLanguage":"vi","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/logo\/image\/","url":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2021\/12\/logo-text.png","contentUrl":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2021\/12\/logo-text.png","width":256,"height":37,"caption":"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile"},"image":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/hoanghamobilecom"]},{"@type":"Person","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/person\/fca08f68130533c2fcfd9928f5016a15","name":"H\u1ed3ng Th\u01a1","image":{"@type":"ImageObject","inLanguage":"vi","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/b74c49ea2aa5069714f9b552602efd03?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/b74c49ea2aa5069714f9b552602efd03?s=96&d=mm&r=g","caption":"H\u1ed3ng Th\u01a1"},"description":"M\u00ecnh l\u00e0 Th\u01a1 - c\u00f4 g\u00e1i \u0111am m\u00ea vi\u1ebft l\u00e1ch, th\u00edch tr\u1ea3i nghi\u1ec7m nh\u1eefng s\u1ea3n ph\u1ea9m c\u00f4ng ngh\u1ec7 m\u1edbi!","url":"https:\/\/hoanghamobile.com\/tin-tuc\/author\/hong-tho\/"}]}},"_links":{"self":[{"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/posts\/379553","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/users\/73"}],"replies":[{"embeddable":true,"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/comments?post=379553"}],"version-history":[{"count":0,"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/posts\/379553\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/media\/379816"}],"wp:attachment":[{"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/media?parent=379553"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/categories?post=379553"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/tags?post=379553"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}