CGP Edu

Maths Logarithms, Indices and Surds, Partial Fraction Indices and Surds Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

In which of the following m > n (m, n ∈ R)

m = (log 2 5) 2 & n = log 2 20

m = log 10 2 & n = log 10

m = log 10 5. log 10 20+ (log 10 2) 2 & n = 1

m =

& n =

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION

(a, d)

m – n = (log 2 5) 2 – (log 2 5 + 2)

= (log 2 5 – 2) (log 2 5 + 1) > 0 ∴ m > n

m = 0·3010, n = ∴ m < n

m =(1 – log 10 2)(1 + log 10 2) = 1– < 1

m = log 2 3, n = log 3 2 ∴ m > n

Previous Question Next Question

Get practice questions, solutions, and test series in one place.

Share your experience with this question and solution.

Send your comment, doubt, correction, or feedback to admin.

What students say about this solution

No reviews yet. Be the first to write a review.