# Discussion of Question with ID = 027 under Logarithms

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### Question

If log(216) = 3, what is log(36)?

A

2.

B

$\text"log"_36(6)$.

C

$\text"log"_6(216)$.

D

1/2.

Soln.
Ans: a

We have 3 = log216 = log$6^3$ = 3 log 6, which gives log6 = 1. So, 2 = 2 × log6 = log$6^2$ = log36. Hence, the answer is 2.