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### Question

Suppose for the sake of this question that $\text"log"_2(5)$ = 10. Then what is $\text"log"_5(32)$?

**A**

1/2.

**B**

$\text"log"_2(5)$.

**C**

$\text"log"_5(2)$.

**D**

2.

**Soln.**

**Ans: a**

$\text"log"_5(32)$ is same as $\text"log"_5(2^5)$ = 5 × $\text"log"_5(2)$ = $5/{\text"log"_2(5)}$, which is same as $5/10$ = 1/2.