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Question

Quantitative Aptitude Question on Logarithms

If x is a positive quantity such that 2x = 3log52, then x is equal to

A

1+log35/3

B

log58

C

1+log53/5

D

log59

Answer

1+log53/5

Explanation

Solution

The correct answer is (C): 2x=⇒ 2x = 2log53
x=⇒ x = log53
x=⇒ x = log5 3*5/5
x=⇒ x = log55+log53/5
x=⇒ x = 1+log5 3/5