CAT Quantitative Aptitude Questions | CAT Logarithms and Exponents

CAT Questions | Logarithms and Exponents | Logarithm - Simple

The question is from Log and Exponents. This ia about base of a logarithm. We need to find out the base of a logarithm. With every extra hour you log in for this topic, it becomes exponentially simpler. CAT Logarithms and Exponents is a favorite in CAT Exam, and appears more often than expected in the CAT Quantitative Aptitude section in the CAT Exam

Question 2: log9 (3log2 (1 + log3 (1 + 2log2x))) = \\frac{1}{2}\\). Find x.

  1. 4
  2. \\frac{1}{2}\\)
  3. 1
  4. 2

2IIM : Best Online CAT Coaching


Signup and sample 5 classes
for free


Video Explanation


Best CAT Coaching in Chennai


Batches filling fast.
Starts Sat, June 8th, 2019


Explanatory Answer

Method of solving this CAT Question from Logs and Exponents: Its amazing how many questions one can solve in the exam knowing only the very basics.

log9 (3log2 (1 + log3 (1 + 2log2x)) = \\frac{1}{2}\\)

3log2(1 + log3(1 + 2log2x)) = 91/2 = 3
log2(1 + log3(1 + 2log2x) = 1
1 + log3(1 + 2log2x) = 2
log3(1 + 2log2x) = 1
1 + 2log2x = 3
2log2x = 2
log2x = 1
x = 2

The question is "Find x."

Hence, the answer is "2".

Choice D is the correct answer.


CAT Preparation Online | CAT Arithmetic Videos On YouTube


Other useful sources for Arithmetic Question | Logarithms and Exponents Sample Questions


CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT


Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
10-C, Kalinga Colony, Bobbili Raja Salai
K.K.Nagar, Chennai. India. Pin - 600 078

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com