CAT 2018 Logarithms Question (Easy)

Question

If is a positive quantity such that , then is equal to

Accepted Answer

Step 1 Solve the equation We are given 2x 3 log_ 5 2 Divide both sides by 2 x 2 log_ 5 2 --- Step 2 Apply logarithmic identity Use the identity a log_ b c log_ b c a So x log_ 5 2 3 2 log_ 5 --- Step 3 Simplify expression We know 2 Thus x log_ 5 2 log_ 5 2 cdot 2 1 2 log_ 5 2 3 2 log_ 5 Alternativel

CAT 2018

Quantitative

Logarithms

Easy

If $x$ is a positive quantity such that $2^x = 3^{\log 5^2}$ , then $x$ is equal to:

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