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{"id":27543,"date":"2018-04-18T16:29:04","date_gmt":"2018-04-18T09:29:04","guid":{"rendered":"https:\/\/lop12.edu.vn\/?p=27543"},"modified":"2018-04-18T16:29:04","modified_gmt":"2018-04-18T09:29:04","slug":"chuong-2-ly-thuyet-bai-3-logarit","status":"publish","type":"post","link":"https:\/\/lop12.edu.vn\/chuong-2-ly-thuyet-bai-3-logarit\/","title":{"rendered":"Ch\u01b0\u01a1ng 2 – L\u00fd thuy\u1ebft B\u00e0i 3: L\u00f4garit"},"content":{"rendered":"

1. \u0110\u1ecbnh ngh\u0129a c\u1ee7a logarit: \u03b1 = loga<\/sub>b <=> a\u03b1<\/sup>\u00a0= b (0 < a \u2260 1, b > 0) .<\/b><\/p>\n

2. \u0110i\u1ec1u ki\u1ec7n c\u00f3 ngh\u0129a c\u1ee7a bi\u1ec3u th\u1ee9c logarit: Bi\u1ec3u th\u1ee9c loga<\/sub>b c\u00f3 ngh\u0129a l\u00e0 khi v\u00e0 ch\u1ec9 khi 0 < a \u2260 1, b > 0 ;<\/b><\/p>\n

D\u01b0\u1edbi \u0111\u00e2y , ta lu\u00f4n gi\u1ea3 thi\u1ebft 0 < a \u2260 1, b, c < 0, \u03b1 \u2260 R, n \u2260 N*<\/p>\n

3. M\u1ed9t s\u1ed1 \u0111\u1ed3ng nh\u1ea5t th\u1ee9c \u0111\u1eb7c bi\u1ec7t:<\/b><\/p>\n

+) loga<\/sub>1 = 0; +) aloga<\/sub>b<\/sup>\u00a0= b; +) loga<\/sub>a = 1<\/p>\n

4. L\u00f4garit c\u1ee7a t\u00edch v\u00e0 th\u01b0\u01a1ng:<\/b><\/p>\n

+) loga<\/sub>(bc) = loga<\/sub>b + loga<\/sub>c;<\/p>\n

+) loga<\/sub>(b\/c) = loga<\/sub>b – loga<\/sub>c<\/p>\n

5. L\u00f4garit c\u1ee7a l\u0169y th\u1eeba<\/b><\/p>\n

+) loga<\/sub>b\u03b1<\/sup>\u00a0= \u03b1loga<\/sub>b<\/p>\n

+) log(a\u03b1<\/sup>)b = (1\/\u03b1)loga<\/sub>b (\u03b1 \u2260 0)<\/p>\n

6. \u0110\u1ed5i c\u01a1 s\u1ed1<\/b><\/p>\n

\"\"<\/p>\n

7. K\u00ed hi\u1ec7u c\u1ee7a l\u00f4garit th\u1eadp ph\u00e2n v\u00e0 l\u00f4garit t\u1ef1 nhi\u00ean<\/b><\/p>\n

+) logb = log10<\/sub>b;<\/p>\n

+) lnb = loge<\/sub>b<\/p>\n","protected":false},"excerpt":{"rendered":"

1. \u0110\u1ecbnh ngh\u0129a c\u1ee7a logarit: \u03b1 = logab <=> a\u03b1\u00a0= b (0 < a \u2260 1, b > 0) . 2. \u0110i\u1ec1u ki\u1ec7n c\u00f3 ngh\u0129a c\u1ee7a bi\u1ec3u th\u1ee9c logarit: Bi\u1ec3u th\u1ee9c logab c\u00f3 ngh\u0129a l\u00e0 khi v\u00e0 ch\u1ec9 khi 0 < a \u2260 1, b > 0 ; D\u01b0\u1edbi \u0111\u00e2y , ta lu\u00f4n gi\u1ea3 thi\u1ebft […]<\/p>\n","protected":false},"author":3,"featured_media":27544,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"tdm_status":"","tdm_grid_status":""},"categories":[157],"tags":[1447,1446],"yoast_head":"\nCh\u01b0\u01a1ng 2 - L\u00fd thuy\u1ebft B\u00e0i 3: L\u00f4garit<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/lop12.edu.vn\/chuong-2-ly-thuyet-bai-3-logarit\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Ch\u01b0\u01a1ng 2 - L\u00fd thuy\u1ebft B\u00e0i 3: L\u00f4garit\" \/>\n<meta property=\"og:description\" content=\"1. \u0110\u1ecbnh ngh\u0129a c\u1ee7a logarit: \u03b1 = logab <=> a\u03b1\u00a0= b (0 < a \u2260 1, b > 0) . 2. \u0110i\u1ec1u ki\u1ec7n c\u00f3 ngh\u0129a c\u1ee7a bi\u1ec3u th\u1ee9c logarit: Bi\u1ec3u th\u1ee9c logab c\u00f3 ngh\u0129a l\u00e0 khi v\u00e0 ch\u1ec9 khi 0 < a \u2260 1, b > 0 ; D\u01b0\u1edbi \u0111\u00e2y , ta lu\u00f4n gi\u1ea3 thi\u1ebft […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/lop12.edu.vn\/chuong-2-ly-thuyet-bai-3-logarit\/\" \/>\n<meta property=\"og:site_name\" content=\"Lop12.edu.vn - C\u1ed9ng \u0111\u1ed3ng h\u1ecdc sinh l\u1edbp 12 l\u1edbn nh\u1ea5t t\u1ea1i Vi\u1ec7t Nam\" \/>\n<meta property=\"article:published_time\" content=\"2018-04-18T09:29:04+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/04\/1-245.png\" \/>\n\t<meta property=\"og:image:width\" content=\"277\" \/>\n\t<meta property=\"og:image:height\" content=\"144\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"H\u00e0 Trang\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"H\u00e0 Trang\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/lop12.edu.vn\/chuong-2-ly-thuyet-bai-3-logarit\/\",\"url\":\"https:\/\/lop12.edu.vn\/chuong-2-ly-thuyet-bai-3-logarit\/\",\"name\":\"Ch\u01b0\u01a1ng 2 - L\u00fd thuy\u1ebft B\u00e0i 3: L\u00f4garit\",\"isPartOf\":{\"@id\":\"https:\/\/lop12.edu.vn\/#website\"},\"datePublished\":\"2018-04-18T09:29:04+00:00\",\"dateModified\":\"2018-04-18T09:29:04+00:00\",\"author\":{\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45\"},\"breadcrumb\":{\"@id\":\"https:\/\/lop12.edu.vn\/chuong-2-ly-thuyet-bai-3-logarit\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/lop12.edu.vn\/chuong-2-ly-thuyet-bai-3-logarit\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/lop12.edu.vn\/chuong-2-ly-thuyet-bai-3-logarit\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/lop12.edu.vn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Ch\u01b0\u01a1ng 2 – L\u00fd thuy\u1ebft B\u00e0i 3: L\u00f4garit\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/lop12.edu.vn\/#website\",\"url\":\"https:\/\/lop12.edu.vn\/\",\"name\":\"Lop12.edu.vn - C\u1ed9ng \u0111\u1ed3ng h\u1ecdc sinh l\u1edbp 12\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/lop12.edu.vn\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45\",\"name\":\"H\u00e0 Trang\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/545a8100db1147f314111301d261dc33?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/545a8100db1147f314111301d261dc33?s=96&d=mm&r=g\",\"caption\":\"H\u00e0 Trang\"},\"url\":\"https:\/\/lop12.edu.vn\/author\/trangvth2\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Ch\u01b0\u01a1ng 2 - L\u00fd thuy\u1ebft B\u00e0i 3: L\u00f4garit","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:\/\/lop12.edu.vn\/chuong-2-ly-thuyet-bai-3-logarit\/","og_locale":"en_US","og_type":"article","og_title":"Ch\u01b0\u01a1ng 2 - L\u00fd thuy\u1ebft B\u00e0i 3: L\u00f4garit","og_description":"1. \u0110\u1ecbnh ngh\u0129a c\u1ee7a logarit: \u03b1 = logab <=> a\u03b1\u00a0= b (0 < a \u2260 1, b > 0) . 2. \u0110i\u1ec1u ki\u1ec7n c\u00f3 ngh\u0129a c\u1ee7a bi\u1ec3u th\u1ee9c logarit: Bi\u1ec3u th\u1ee9c logab c\u00f3 ngh\u0129a l\u00e0 khi v\u00e0 ch\u1ec9 khi 0 < a \u2260 1, b > 0 ; D\u01b0\u1edbi \u0111\u00e2y , ta lu\u00f4n gi\u1ea3 thi\u1ebft […]","og_url":"https:\/\/lop12.edu.vn\/chuong-2-ly-thuyet-bai-3-logarit\/","og_site_name":"Lop12.edu.vn - C\u1ed9ng \u0111\u1ed3ng h\u1ecdc sinh l\u1edbp 12 l\u1edbn nh\u1ea5t t\u1ea1i Vi\u1ec7t Nam","article_published_time":"2018-04-18T09:29:04+00:00","og_image":[{"width":277,"height":144,"url":"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/04\/1-245.png","type":"image\/png"}],"author":"H\u00e0 Trang","twitter_card":"summary_large_image","twitter_misc":{"Written by":"H\u00e0 Trang","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/lop12.edu.vn\/chuong-2-ly-thuyet-bai-3-logarit\/","url":"https:\/\/lop12.edu.vn\/chuong-2-ly-thuyet-bai-3-logarit\/","name":"Ch\u01b0\u01a1ng 2 - L\u00fd thuy\u1ebft B\u00e0i 3: L\u00f4garit","isPartOf":{"@id":"https:\/\/lop12.edu.vn\/#website"},"datePublished":"2018-04-18T09:29:04+00:00","dateModified":"2018-04-18T09:29:04+00:00","author":{"@id":"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45"},"breadcrumb":{"@id":"https:\/\/lop12.edu.vn\/chuong-2-ly-thuyet-bai-3-logarit\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/lop12.edu.vn\/chuong-2-ly-thuyet-bai-3-logarit\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/lop12.edu.vn\/chuong-2-ly-thuyet-bai-3-logarit\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/lop12.edu.vn\/"},{"@type":"ListItem","position":2,"name":"Ch\u01b0\u01a1ng 2 – L\u00fd thuy\u1ebft B\u00e0i 3: L\u00f4garit"}]},{"@type":"WebSite","@id":"https:\/\/lop12.edu.vn\/#website","url":"https:\/\/lop12.edu.vn\/","name":"Lop12.edu.vn - C\u1ed9ng \u0111\u1ed3ng h\u1ecdc sinh l\u1edbp 12","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/lop12.edu.vn\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45","name":"H\u00e0 Trang","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/lop12.edu.vn\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/545a8100db1147f314111301d261dc33?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/545a8100db1147f314111301d261dc33?s=96&d=mm&r=g","caption":"H\u00e0 Trang"},"url":"https:\/\/lop12.edu.vn\/author\/trangvth2\/"}]}},"_links":{"self":[{"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/posts\/27543"}],"collection":[{"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/comments?post=27543"}],"version-history":[{"count":1,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/posts\/27543\/revisions"}],"predecessor-version":[{"id":27545,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/posts\/27543\/revisions\/27545"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/media\/27544"}],"wp:attachment":[{"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/media?parent=27543"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/categories?post=27543"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/tags?post=27543"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}