{"id":7194,"date":"2021-10-23T01:05:49","date_gmt":"2021-10-22T19:35:49","guid":{"rendered":"https:\/\/mathemerize.com\/?p=7194"},"modified":"2021-10-25T00:47:09","modified_gmt":"2021-10-24T19:17:09","slug":"find-the-value-of-2log2over-5-3log25over-8-log625over-128","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/","title":{"rendered":"Find the value of \\(2log{2\\over 5}\\) + \\(3log{25\\over 8}\\) &#8211; \\(log{625\\over 128}\\)."},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>\\(2log{2\\over 5}\\) + \\(3log{25\\over 8}\\) + \\(log{128\\over 625}\\)<\/p>\n<p>= \\(log{2^2\\over 5^2}\\) + \\(log({5^2\\over 2^3})^3\\) + \\(log{2^7\\over 5^4}\\)<\/p>\n<p>= \\(log({2^2\\over 5^2}{5^6\\over 2^9}{2^7\\over 5^4})\\) = log 1 = 0<\/p>\n<hr \/>\n<h3 style=\"text-align: center;\">Similar Questions<\/h3>\n<p><a class=\"row-title\" style=\"color: #2271b1; text-decoration: none; cursor: pointer; transition: none 0s ease 0s; outline: 0px; overflow-wrap: break-word; font-weight: 600; font-size: 14px; font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen-Sans, Ubuntu, Cantarell, 'Helvetica Neue', sans-serif; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: #ffffff;\" href=\"https:\/\/mathemerize.com\/solve-for-x-2x-2-1over-41over-x\/\" aria-label=\"\u201cSolve for x : \\(2^{x + 2}\\) &gt; \\(({1\\over 4})^{1\\over x}\\).\u201d (Edit)\">Solve for x : \\(2^{x + 2}\\) &gt; \\(({1\\over 4})^{1\\over x}\\).<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/evaluate-the-given-log-81lover-log_5-3-27log_9-36-34over-log_7-9\/\" aria-label=\"\u201cEvaluate the given log : \\(81^{l\\over {log_5 3}}\\) + \\(27^{log_9 36}\\) + \\(3^{4\\over {log_7 9}}\\).\u201d (Edit)\">Evaluate the given log : \\(81^{l\\over {log_5 3}}\\) + \\(27^{log_9 36}\\) + \\(3^{4\\over {log_7 9}}\\).<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/if-log_a-x-p-and-log_b-x2-q-then-log_x-sqrtab-is-equal-to\/\" aria-label=\"\u201cIf \\(log_a x\\) = p and \\(log_b {x^2}\\) = q then \\(log_x \\sqrt{ab}\\) is equal to\u201d (Edit)\">If \\(log_a x\\) = p and \\(log_b {x^2}\\) = q then \\(log_x \\sqrt{ab}\\) is equal to<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/if-log_e-x-log_e-y-a-log_e-y-log_e-z-b-log_e-z-log_e-x-c-then-find-the-value-of-xover-yb-c-times-yover-zc-a\/\" aria-label=\"\u201cIf \\(log_e x\\) \u2013 \\(log_e y\\) = a, \\(log_e y\\) \u2013 \\(log_e z\\) = b &amp; \\(log_e z\\) \u2013 \\(log_e x\\) = c, then find the value of \\(({x\\over y})^{b-c}\\) \\(\\times\\) \\(({y\\over z})^{c-a}\\) \\(\\times\\) \\(({z\\over x})^{a-b}\\).\u201d (Edit)\">If \\(log_e x\\) \u2013 \\(log_e y\\) = a, \\(log_e y\\) \u2013 \\(log_e z\\) = b &amp; \\(log_e z\\) \u2013 \\(log_e x\\) = c, then find the value of \\(({x\\over y})^{b-c}\\) \\(\\times\\) \\(({y\\over z})^{c-a}\\) \\(\\times\\) \\(({z\\over x})^{a-b}\\).<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : \\(2log{2\\over 5}\\) + \\(3log{25\\over 8}\\) + \\(log{128\\over 625}\\) = \\(log{2^2\\over 5^2}\\) + \\(log({5^2\\over 2^3})^3\\) + \\(log{2^7\\over 5^4}\\) = \\(log({2^2\\over 5^2}{5^6\\over 2^9}{2^7\\over 5^4})\\) = log 1 = 0 Similar Questions Solve for x : \\(2^{x + 2}\\) &gt; \\(({1\\over 4})^{1\\over x}\\). Evaluate the given log : \\(81^{l\\over {log_5 3}}\\) + \\(27^{log_9 36}\\) + \\(3^{4\\over &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/\"> <span class=\"screen-reader-text\">Find the value of \\(2log{2\\over 5}\\) + \\(3log{25\\over 8}\\) &#8211; \\(log{625\\over 128}\\).<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[55,43],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Find the value of \\(2log{2\\over 5}\\) + \\(3log{25\\over 8}\\) - \\(log{625\\over 128}\\).<\/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:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Find the value of \\(2log{2\\over 5}\\) + \\(3log{25\\over 8}\\) - \\(log{625\\over 128}\\).\" \/>\n<meta property=\"og:description\" content=\"Solution : (2log{2over 5}) + (3log{25over 8}) + (log{128over 625}) = (log{2^2over 5^2}) + (log({5^2over 2^3})^3) + (log{2^7over 5^4}) = (log({2^2over 5^2}{5^6over 2^9}{2^7over 5^4})) = log 1 = 0 Similar Questions Solve for x : (2^{x + 2}) &gt; (({1over 4})^{1over x}). Evaluate the given log : (81^{lover {log_5 3}}) + (27^{log_9 36}) + (3^{4over &hellip; Find the value of (2log{2over 5}) + (3log{25over 8}) &#8211; (log{625over 128}). Read More &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathemerize\" \/>\n<meta property=\"article:published_time\" content=\"2021-10-22T19:35:49+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-10-24T19:17:09+00:00\" \/>\n<meta name=\"author\" content=\"mathemerize\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"mathemerize\" \/>\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\":\"Article\",\"@id\":\"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/\"},\"author\":{\"name\":\"mathemerize\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\"},\"headline\":\"Find the value of \\\\(2log{2\\\\over 5}\\\\) + \\\\(3log{25\\\\over 8}\\\\) &#8211; \\\\(log{625\\\\over 128}\\\\).\",\"datePublished\":\"2021-10-22T19:35:49+00:00\",\"dateModified\":\"2021-10-24T19:17:09+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/\"},\"wordCount\":109,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathemerize.com\/#organization\"},\"articleSection\":[\"Logarithm Questions\",\"Maths Questions\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/\",\"url\":\"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/\",\"name\":\"Find the value of \\\\(2log{2\\\\over 5}\\\\) + \\\\(3log{25\\\\over 8}\\\\) - \\\\(log{625\\\\over 128}\\\\).\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/#website\"},\"datePublished\":\"2021-10-22T19:35:49+00:00\",\"dateModified\":\"2021-10-24T19:17:09+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathemerize.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Find the value of \\\\(2log{2\\\\over 5}\\\\) + \\\\(3log{25\\\\over 8}\\\\) &#8211; \\\\(log{625\\\\over 128}\\\\).\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathemerize.com\/#website\",\"url\":\"https:\/\/mathemerize.com\/\",\"name\":\"Mathemerize\",\"description\":\"Maths Tutorials - Study Math Online\",\"publisher\":{\"@id\":\"https:\/\/mathemerize.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathemerize.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathemerize.com\/#organization\",\"name\":\"Mathemerize\",\"url\":\"https:\/\/mathemerize.com\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1\",\"contentUrl\":\"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1\",\"width\":140,\"height\":96,\"caption\":\"Mathemerize\"},\"image\":{\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.instagram.com\/mathemerize\/\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\",\"name\":\"mathemerize\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g\",\"caption\":\"mathemerize\"},\"sameAs\":[\"https:\/\/mathemerize.com\"],\"url\":\"https:\/\/mathemerize.com\/author\/mathemerize\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Find the value of \\(2log{2\\over 5}\\) + \\(3log{25\\over 8}\\) - \\(log{625\\over 128}\\).","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:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/","og_locale":"en_US","og_type":"article","og_title":"Find the value of \\(2log{2\\over 5}\\) + \\(3log{25\\over 8}\\) - \\(log{625\\over 128}\\).","og_description":"Solution : (2log{2over 5}) + (3log{25over 8}) + (log{128over 625}) = (log{2^2over 5^2}) + (log({5^2over 2^3})^3) + (log{2^7over 5^4}) = (log({2^2over 5^2}{5^6over 2^9}{2^7over 5^4})) = log 1 = 0 Similar Questions Solve for x : (2^{x + 2}) &gt; (({1over 4})^{1over x}). Evaluate the given log : (81^{lover {log_5 3}}) + (27^{log_9 36}) + (3^{4over &hellip; Find the value of (2log{2over 5}) + (3log{25over 8}) &#8211; (log{625over 128}). Read More &raquo;","og_url":"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/","og_site_name":"Mathemerize","article_published_time":"2021-10-22T19:35:49+00:00","article_modified_time":"2021-10-24T19:17:09+00:00","author":"mathemerize","twitter_card":"summary_large_image","twitter_misc":{"Written by":"mathemerize","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/#article","isPartOf":{"@id":"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/"},"author":{"name":"mathemerize","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df"},"headline":"Find the value of \\(2log{2\\over 5}\\) + \\(3log{25\\over 8}\\) &#8211; \\(log{625\\over 128}\\).","datePublished":"2021-10-22T19:35:49+00:00","dateModified":"2021-10-24T19:17:09+00:00","mainEntityOfPage":{"@id":"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/"},"wordCount":109,"commentCount":0,"publisher":{"@id":"https:\/\/mathemerize.com\/#organization"},"articleSection":["Logarithm Questions","Maths Questions"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/","url":"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/","name":"Find the value of \\(2log{2\\over 5}\\) + \\(3log{25\\over 8}\\) - \\(log{625\\over 128}\\).","isPartOf":{"@id":"https:\/\/mathemerize.com\/#website"},"datePublished":"2021-10-22T19:35:49+00:00","dateModified":"2021-10-24T19:17:09+00:00","breadcrumb":{"@id":"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathemerize.com\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathemerize.com\/"},{"@type":"ListItem","position":2,"name":"Find the value of \\(2log{2\\over 5}\\) + \\(3log{25\\over 8}\\) &#8211; \\(log{625\\over 128}\\)."}]},{"@type":"WebSite","@id":"https:\/\/mathemerize.com\/#website","url":"https:\/\/mathemerize.com\/","name":"Mathemerize","description":"Maths Tutorials - Study Math Online","publisher":{"@id":"https:\/\/mathemerize.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathemerize.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/mathemerize.com\/#organization","name":"Mathemerize","url":"https:\/\/mathemerize.com\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/","url":"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1","contentUrl":"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1","width":140,"height":96,"caption":"Mathemerize"},"image":{"@id":"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.instagram.com\/mathemerize\/"]},{"@type":"Person","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df","name":"mathemerize","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g","caption":"mathemerize"},"sameAs":["https:\/\/mathemerize.com"],"url":"https:\/\/mathemerize.com\/author\/mathemerize\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/7194"}],"collection":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/comments?post=7194"}],"version-history":[{"count":3,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/7194\/revisions"}],"predecessor-version":[{"id":7306,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/7194\/revisions\/7306"}],"wp:attachment":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/media?parent=7194"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/categories?post=7194"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/tags?post=7194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}