Discussion of Question with ID = 037 under Logarithms

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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.


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