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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.