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

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Which is the correct order for a given number α > 1 in increasing order?

log 2 α , log 3 α , log e α , log 10 α

log 10 α , log 3 α , log e α , log 2 α

log 10 α , log e α , log 2 α , log 3 α

log 3 α , log e α , log 2 α , log 10 α

Text Solution

Verified by Experts

The correct answer is:

Since log x y > log x z

⇒ y > z if x > 1

y < z if 0 < x < 1

and log y x > log z x

⇒ y < z if x > 1 and y, z > 1

Hence choice [B] is correct.

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