# CAT 2017 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Exponents and Logarithms Questions | Question 21

Logarithms is the most commonly tested topic in CAT. The basic concept is easy, learn the concepts and practice a wide range of CAT Questions from 2IIM. One can usually expect 2-3 questions from Logarithms and Exponents in the CAT exam. With every extra hour you log in for this topic, it becomes exponentially simpler. Here's one such question from Logarithm that has a layer of geometric on it.

Question 21 : Suppose, log3x = log12y = a, where x, y are positive numbers. If G is the geometric mean of x and y, and log6G is equal to :

1. √a
2. 2a
3. $$frac{a}{2}$ 4. a ## 🎉Get Upto ₹10,000 off on our CAT 23/24 courses.🎉Get flat ₹6,000 off on IPM courses.Valid till 30th September 2023! #### ★Register Now! ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer ##### Method of solving this CAT Question from Exponents and Logarithms log3 x = log12 y = a, where x, y are positive numbers. log3 x = a; x = 3a log12 y = a; y = 12a If G is the geometric mean of x and y, log6G is equal to has to be found We know that geometric mean is √xy √xy = √$36a)
= √(62a) = (62a)$$frac{1}{2}$ = 6a log6 G = a The question is "Suppose, log3x = log12y = a, where x, y are positive numbers. If G is the geometric mean of x and y, and log6G is equal to :" ##### Hence, the answer is a ###### 🎉Get Upto ₹10,000 off on our CAT 23/24 courses.🎉Flat ₹6000 off on IPM courses. ###### Prepare for CAT 2023 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2023 Classroom Batches Starting Now! @Gopalapuram ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Mobile:$91) 99626 48484 / 94459 38484
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