Question

find value of log root3 (243)​

Answer 1

We need to know that

$log_m(m^n) = n$

This is the concept applied in the given problem

We have

$243 = 3^5 = (\sqrt3)^{10}$

Hence,

$log_{\sqrt{3}}(243) =log_{\sqrt3}[\sqrt{3}^{10}]$

= 10

HOPE IT HELPS!!