
CAT Logarithm Questions are a regular feature in the exam paper. They appear in Quantitative Aptitude section and often quick to do. There are usually 1-2 Logarithm questions in the CAT question paper every year. CAT 2026 aspirants must study Hidden Quadratic Substitutions, Base Change Rule, Logarithmic Inequalities & Domain Constraints, Telescoping Series Loops, Character Mapping and Domain Restrictions and Inequality Intercepts, to master this topic of exam.
Find Logarithm-based problems with solutions and shortcuts.
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Practice a good number of questions of easy, medium and hard difficulty level. Check below a few CAT Logarithm Questions for practice. Also find CAT Logarithm guide book PDF for free download.
Also Read: CAT 2026 preparation
Sample CAT Logarithm Questions with Solutions
Question 1. Calculate: log 2(32)
(A) 4
(B) 5
(C) 6
(D) 3
Question 2. Solve for x (x > 1): log(x−1) + log(x+1) = log 3
(A) x = 1.5
(B) x = 2
(C) x = 2.5
(D) x = 3
Question 3. Solve for x: log2(x) + log4(x) + log8(x) = 11
(A) x = 32
(B) x = 64
(C) x = 128
(D) x = 256
Question 4. Using log 5 = 0.6990, find the number of digits in 515.
(A) 10
(B) 11
(C) 12
(D) 9
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CAT coaching institutes in Jalandhar that offer weekend batches are Career Launcher and Alchemist.
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The average fee ranges in Jalandhar from ₹50,000 to ₹85,000 for offline classroom courses and ₹18,000 to ₹35,000 for online courses.
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CAT coaching institutes in Gorakhpur that offer weekend batches are Career Launcher, TIME and IMS. Candidates are requested to contact these institutes regarding more information.
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The average fee ranges in Gorakhpur from ₹50,000 to ₹85,000 for offline classroom courses and ₹18,000 to ₹35,000 for online courses.
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CAT coaching institutes in Udaipur that offer weekend batches are IMS Udaipur and Career Launcher Udaipur.
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The average fee in Udaipur ranges from ₹50,000 to ₹85,000 for offline classroom courses and ₹25,000 to ₹35,000 for online courses.
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CAT coaching institutes in Vadodara that offer weekend batches IMS Vadodara, Career Launcher (CL) Baroda and Endeavor Vadodara.
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