Discussion of Question with ID = 097 under Logarithms

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Suppose for the sake of this question that $\text"log"_4(5)$ = 10. Then what is $\text"log"_5(1024)$?

1/2.

$\text"log"_4(5)$.

$\text"log"_5(4)$.

Soln.
Ans: a

$\text"log"_5(1024)$ is same as $\text"log"_5(4^5)$ = 5 × $\text"log"_5(4)$ = $5/{\text"log"_4(5)}$, which is same as $5/10$ = 1/2.