
{"id":801998,"date":"2023-12-20T16:45:07","date_gmt":"2023-12-20T11:15:07","guid":{"rendered":"https:\/\/leverageedu.com\/discover\/?p=801998"},"modified":"2023-12-20T16:45:07","modified_gmt":"2023-12-20T11:15:07","slug":"exam-prep-logarithm-questions","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-logarithm-questions\/","title":{"rendered":"10 + Logarithm Questions and Answers | Quantitative Aptitude"},"content":{"rendered":"\n<p>The Logarithm Questions are an important part of the<strong> <\/strong><a href=\"https:\/\/leverageedu.com\/discover\/category\/indian-exams\/study-material\/quantitative-aptitude\/\"><strong>quantitative aptitude section<\/strong><\/a><strong> <\/strong>in the <a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/upcoming-government-exams\/\"><strong>upcoming government exams<\/strong><\/a><strong>.<\/strong><\/p>\n\n\n\n<p><strong>Logarithm Questions <\/strong>are asked in exams like:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>UPSC<\/strong><\/li>\n\n\n\n<li><strong>RBI<\/strong><\/li>\n\n\n\n<li><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/ssc-cgl-exam-pattern\/\"><strong>SSC<\/strong><\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/leverageedu.com\/blog\/bank-po\/\"><strong>SBI PO<\/strong><\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/sbi-clerk-notification\/\"><strong>SBI Clerk<\/strong><\/a><\/li>\n\n\n\n<li><strong>IBPS PO<\/strong><\/li>\n\n\n\n<li><strong>IBPS Clerk<\/strong><\/li>\n<\/ol>\n\n\n\n<p>Start your preparation by solving these questions. In this blog, we will review the fundamentals of <strong>Logarithm Questions,<\/strong> the types of questions asked in previous year exams and how to approach them. This will help you clear your basics and answer these <strong>Logarithm Questions.<\/strong><\/p>\n\n\n\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-what-is-logarithm-what-are-logarithm-problems\">What is Logarithm? What are Logarithm Problems?\u00a0<\/h2>\n\n\n\n<p>\u201cLagorithm\u201d is a term that is used to solve problems that are not solved just using the exponents. Writing the logarithm equation is another way to write the exponential equation.\u00a0<\/p>\n\n\n\n<p>It is an inverse form of exponents. There are 7 rules of logarithmic equations, such as:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Product rule.<\/li>\n\n\n\n<li>Division rule.<\/li>\n\n\n\n<li>Power rule\/Exponential Rule.<\/li>\n\n\n\n<li>Change of base rule.<\/li>\n\n\n\n<li>Base switch rule.<\/li>\n\n\n\n<li>Derivative of log.<\/li>\n\n\n\n<li>Integral of log.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-formulae-of-logarithm\">Formulae of Logarithm<\/h3>\n\n\n\n<p>The basic formulae for Logarithm are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>logb(mn) = logb(m) + logb(n)<\/li>\n\n\n\n<li>logb(m\/n) = logb (m) \u2013 logb (n)<\/li>\n\n\n\n<li>Logb (xy) = y logb(x)<\/li>\n\n\n\n<li>Logbm\u221an = logb n\/m<\/li>\n\n\n\n<li>m logb(x) + n logb(y) = logb(xmyn)<\/li>\n\n\n\n<li>logb(m+n) = logb m + logb(1+nm)<\/li>\n\n\n\n<li>logb(m \u2013 n) = logb m + logb (1-n\/m<\/li>\n<\/ul>\n\n\n\n<p class=\"has-electric-grass-gradient-background has-background\">Must Read: <a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-verbal-classification-reasoning-questions\/\"><strong>50+ Verbal Classification Questions with Answers<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-10-logarithm-questions-and-answers\">10 + Logarithm Questions and Answers\u00a0<\/h2>\n\n\n\n<p><strong>Q.1. Find the value of log9 59049<\/strong><\/p>\n\n\n\n<p>A. 9<\/p>\n\n\n\n<p>B. 7<\/p>\n\n\n\n<p>C. 5<\/p>\n\n\n\n<p>D. 8<\/p>\n\n\n\n<p>Answer: B<\/p>\n\n\n\n<p><strong>Q.2. . If log 2 = 03.301 and log 3 = 0.4771, find the value of log3 725<\/strong><\/p>\n\n\n\n<p>A. 19.46<\/p>\n\n\n\n<p>B. 18.96<\/p>\n\n\n\n<p>C. 21.54<\/p>\n\n\n\n<p>D. 14.48<\/p>\n\n\n\n<p>Answer: A<\/p>\n\n\n\n<p><strong>Q.3. If x, y and z are the sides of a right-angled triangle, where \u2018z\u2019 is the hypotenuse, then find the value of (1\/logx+zy) + (1\/logx-zy)<\/strong><\/p>\n\n\n\n<p>A. 1<\/p>\n\n\n\n<p>B. 2<\/p>\n\n\n\n<p>C. 3<\/p>\n\n\n\n<p>D. 4<\/p>\n\n\n\n<p>Answer: B<\/p>\n\n\n\n<p><strong>Q.4. Find the value of log2 2 + log2 22 + log2 23 + \u2026\u2026.. + log2 2n.<\/strong><\/p>\n\n\n\n<p>A. n(n+1)\/2<\/p>\n\n\n\n<p>B. n+1<\/p>\n\n\n\n<p>C. n<\/p>\n\n\n\n<p>D. 2n<\/p>\n\n\n\n<p>Answer: A<\/p>\n\n\n\n<p><strong>Q.5. If log5 16, log5 (3x-4), log5 (3x+97\/16) are in arithmetic progression, then x is<\/strong><\/p>\n\n\n\n<p>A. 8<\/p>\n\n\n\n<p>B. 1<\/p>\n\n\n\n<p>C. 5<\/p>\n\n\n\n<p>D. 3<\/p>\n\n\n\n<p>Answer: B<\/p>\n\n\n\n<p><strong>Q.6. If \u2018x\u2019 is an integer then solve (log2 x) 2 \u2013 log2 x4 \u2013 32 = 0.<\/strong><\/p>\n\n\n\n<p>A. 125<\/p>\n\n\n\n<p>B. 256<\/p>\n\n\n\n<p>C. 375<\/p>\n\n\n\n<p>D. None of these<\/p>\n\n\n\n<p>Answer: B<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><a href=\"#commentdata\"><img  loading=\"lazy\"  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\"wp-image-792905 pk-lazyload\"  width=\"723\"  height=\"181\"  data-pk-sizes=\"auto\"  data-ls-sizes=\"auto, (max-width: 723px) 100vw, 723px\"  data-pk-src=\"https:\/\/cdnblogdiscover.leverageedu.com\/discover\/wp-content\/uploads\/2023\/10\/Ask-Us-Anything.png\"  data-pk-srcset=\"https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/9\/2023\/10\/13134230\/Ask-Us-Anything.png 640w, https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/9\/2023\/10\/13134230\/Ask-Us-Anything-300x75.png 300w, https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/9\/2023\/10\/13134230\/Ask-Us-Anything-150x38.png 150w\" ><\/a><\/figure>\n\n\n\n<p><strong>Q.7. If log5y \u2013 logsub>5\u221ay = 2 logy 5, then find the value of y.<\/strong><\/p>\n\n\n\n<p>A. 25<\/p>\n\n\n\n<p>B. 35<\/p>\n\n\n\n<p>C. 10<\/p>\n\n\n\n<p>D. 15<\/p>\n\n\n\n<p>Answer: A<\/p>\n\n\n\n<p><strong>Q8. If (1\/4)log2x + 4log2y = 2 + log64-18 then<\/strong><\/p>\n\n\n\n<p>A. y16 = 64\/x2<\/p>\n\n\n\n<p>B. x16 = 64\/y<\/p>\n\n\n\n<p>C. y16 = 8\/x4<\/p>\n\n\n\n<p>D. y16 = 64\/x<\/p>\n\n\n\n<p>Answer: D<\/p>\n\n\n\n<p><strong>Q9. If log 2 = 0.301 and log 3 = 0.4771, find the number of digits in 4812.<\/strong><\/p>\n\n\n\n<p>A. 19<\/p>\n\n\n\n<p>B. 21<\/p>\n\n\n\n<p>C. 20<\/p>\n\n\n\n<p>D. 24<\/p>\n\n\n\n<p>Answer: A<\/p>\n\n\n\n<p><strong>Q10. If log3[log2 (x2 \u2013 4x \u2013 37)] = 1, where \u2018x\u2019 is a natural number, find the value of x.<\/strong><\/p>\n\n\n\n<p>A. 9<\/p>\n\n\n\n<p>B. 7<\/p>\n\n\n\n<p>C. 10<\/p>\n\n\n\n<p>D. 4<\/p>\n\n\n\n<p>Answer: B<\/p>\n\n\n\n<p class=\"has-electric-grass-gradient-background has-background\">Must Read: <a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-questions-of-matching-definitions\/\"><strong>31+ Questions of Matching Definitions Reasoning with Answers<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\">FAQs<\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1703156662976\"><strong class=\"schema-faq-question\">How to solve log problems with quantitative aptitude?<\/strong> <p class=\"schema-faq-answer\">There are many rules in the Logarithm equation to solve log problems in quantitative aptitude.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1703156685574\"><strong class=\"schema-faq-question\">How many rules are there in logarithmic equations?<\/strong> <p class=\"schema-faq-answer\">There are 7 rules in\u00a0logarithmic equations such as: <br\/>Product rule.<br\/>Division rule.<br\/>Power rule\/Exponential Rule.<br\/>Change of base rule.<br\/>Base switch rule.<br\/>Derivative of log.<br\/>Integral of log.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1703156686381\"><strong class=\"schema-faq-question\">What are the basic formulae for Logarithm problems?<\/strong> <p class=\"schema-faq-answer\">The basic formule for Logarithm problem is logb(mn) = logb(m) + logb(n).<\/p> <\/div> <\/div>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color\"><strong>RELATED BLOGS<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-blood-relation-reasoning-questions\/\"><strong>Blood Relation Reasoning Questions<\/strong><\/a><\/td><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-questions-of-verification-of-truth-reasoning\/\"><strong>Questions of Verification of Truth Reasoning<\/strong><\/a><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/classification-reasoning-questions\/\"><strong>Classification Reasoning Questions<\/strong><\/a><\/td><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-questions-of-arithmetic-reasoning\/\"><strong>Questions of Arithmetic Reasoning<\/strong><\/a><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/questions-of-syllogism-reasoning\/\"><strong>Questions of Syllogism Reasoning<\/strong><\/a><\/td><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-questions-of-direction-sense-test-reasoning\/\"><strong>Questions of Direction Sense Test Reasoning<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>This was all about the \u201c<em><strong>1<\/strong><\/em><strong><em>0 + Logarithm Questions and Answers\u201d<\/em><\/strong>.\u00a0 For more such informative blogs, check out our <a href=\"https:\/\/leverageedu.com\/discover\/category\/indian-exams\/study-material\/\"><strong>Study Material Section<\/strong><\/a>, or you can learn more about us by visiting our <a href=\"https:\/\/leverageedu.com\/discover\/category\/indian-exams\/\">\u00a0<strong>Indian exams<\/strong><\/a> page.<\/p>\n","protected":false},"excerpt":{"rendered":"The Logarithm Questions are an important part of the quantitative aptitude section in the upcoming government exams. Logarithm&hellip;\n","protected":false},"author":66,"featured_media":802061,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"editor_notices":[],"footnotes":""},"categories":[369,484,396],"tags":[],"class_list":{"0":"post-801998","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-indian-exams","8":"category-quantitative-aptitude","9":"category-study-material"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.5 (Yoast SEO v27.5) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>10 + Logarithm Questions and Answers | Leverage Edu Discover<\/title>\n<meta name=\"description\" content=\"In this blog, we will review the fundamentals of Logarithm, and the types of questions asked in previous year exams.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, 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Popli","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/secure.gravatar.com\/avatar\/62dd7fe1176cecbe13eb577cde5e4a5c404413ce803d7d507bf78000cee1cf03?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/62dd7fe1176cecbe13eb577cde5e4a5c404413ce803d7d507bf78000cee1cf03?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/62dd7fe1176cecbe13eb577cde5e4a5c404413ce803d7d507bf78000cee1cf03?s=96&d=mm&r=g","caption":"Simran Popli"},"description":"An avid observer and a creative content marketer. With an experience of 1.5 years as a content writer in different industries. Patient, Vivacious and a Great Leader are the best adjectives that can describe her personality.","sameAs":["https:\/\/www.linkedin.com\/in\/simran-popli-469637197\/"],"url":"https:\/\/leverageedu.com\/discover\/author\/simran\/"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-logarithm-questions\/#faq-question-1703156662976","position":1,"url":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-logarithm-questions\/#faq-question-1703156662976","name":"How to solve log problems with quantitative aptitude?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"There are many rules in the Logarithm equation to solve log problems in quantitative aptitude.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-logarithm-questions\/#faq-question-1703156685574","position":2,"url":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-logarithm-questions\/#faq-question-1703156685574","name":"How many rules are there in logarithmic equations?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"There are 7 rules in\u00a0logarithmic equations such as: <br\/>Product rule.<br\/>Division rule.<br\/>Power rule\/Exponential Rule.<br\/>Change of base rule.<br\/>Base switch rule.<br\/>Derivative of log.<br\/>Integral of log.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-logarithm-questions\/#faq-question-1703156686381","position":3,"url":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-logarithm-questions\/#faq-question-1703156686381","name":"What are the basic formulae for Logarithm problems?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"The basic formule for Logarithm problem is logb(mn) = logb(m) + logb(n).","inLanguage":"en-US"},"inLanguage":"en-US"}]}},"acf":[],"_links":{"self":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts\/801998","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/users\/66"}],"replies":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/comments?post=801998"}],"version-history":[{"count":0,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts\/801998\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/media\/802061"}],"wp:attachment":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/media?parent=801998"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/categories?post=801998"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/tags?post=801998"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}