{"id":7197,"date":"2021-10-23T00:57:38","date_gmt":"2021-10-22T19:27:38","guid":{"rendered":"https:\/\/mathemerize.com\/?p=7197"},"modified":"2021-10-25T00:48:55","modified_gmt":"2021-10-24T19:18:55","slug":"evaluate-the-given-log-81lover-log_5-3-27log_9-36-34over-log_7-9","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/evaluate-the-given-log-81lover-log_5-3-27log_9-36-34over-log_7-9\/","title":{"rendered":"Evaluate the given log : \\(81^{l\\over {log_5 3}}\\) + \\(27^{log_9 36}\\) + \\(3^{4\\over {log_7 9}}\\)."},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>\\(81^{log_3 5}\\) + \\(3^{3log_9 36}\\) + \\(3^{4log_9 7}\\)<\/p>\n<p>\\(\\implies\\) \\(3^{4log_3 5}\\) + \\(3^{log_3 {(36)}^{3\/2}}\\) + \\(3^{log_3 {7}^2}\\)<\/p>\n<p>= 625 + 216 + 49 = 890.<\/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\/find-the-value-of-2log2over-5-3log25over-8-log625over-128\/\" aria-label=\"\u201cFind the value of \\(2log{2\\over 5}\\) + \\(3log{25\\over 8}\\) \u2013 \\(log{625\\over 128}\\).\u201d (Edit)\">Find the value of \\(2log{2\\over 5}\\) + \\(3log{25\\over 8}\\) \u2013 \\(log{625\\over 128}\\).<\/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 : \\(81^{log_3 5}\\) + \\(3^{3log_9 36}\\) + \\(3^{4log_9 7}\\) \\(\\implies\\) \\(3^{4log_3 5}\\) + \\(3^{log_3 {(36)}^{3\/2}}\\) + \\(3^{log_3 {7}^2}\\) = 625 + 216 + 49 = 890. Similar Questions Solve for x : \\(2^{x + 2}\\) &gt; \\(({1\\over 4})^{1\\over x}\\). Find the value of \\(2log{2\\over 5}\\) + \\(3log{25\\over 8}\\) \u2013 \\(log{625\\over 128}\\). If \\(log_a x\\) &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/evaluate-the-given-log-81lover-log_5-3-27log_9-36-34over-log_7-9\/\"> <span class=\"screen-reader-text\">Evaluate the given log : \\(81^{l\\over {log_5 3}}\\) + \\(27^{log_9 36}\\) + \\(3^{4\\over {log_7 9}}\\).<\/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>Evaluate the given log : \\(81^{l\\over {log_5 3}}\\) + \\(27^{log_9 36}\\) + \\(3^{4\\over {log_7 9}}\\).<\/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\/evaluate-the-given-log-81lover-log_5-3-27log_9-36-34over-log_7-9\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Evaluate the given log : \\(81^{l\\over {log_5 3}}\\) + \\(27^{log_9 36}\\) + \\(3^{4\\over {log_7 9}}\\).\" \/>\n<meta property=\"og:description\" content=\"Solution : (81^{log_3 5}) + (3^{3log_9 36}) + (3^{4log_9 7}) (implies) (3^{4log_3 5}) + (3^{log_3 {(36)}^{3\/2}}) + (3^{log_3 {7}^2}) = 625 + 216 + 49 = 890. Similar Questions Solve for x : (2^{x + 2}) &gt; (({1over 4})^{1over x}). Find the value of (2log{2over 5}) + (3log{25over 8}) \u2013 (log{625over 128}). If (log_a x) &hellip; Evaluate the given log : (81^{lover {log_5 3}}) + (27^{log_9 36}) + (3^{4over {log_7 9}}). 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Similar Questions Solve for x : (2^{x + 2}) &gt; (({1over 4})^{1over x}). Find the value of (2log{2over 5}) + (3log{25over 8}) \u2013 (log{625over 128}). If (log_a x) &hellip; Evaluate the given log : (81^{lover {log_5 3}}) + (27^{log_9 36}) + (3^{4over {log_7 9}}). 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