Question

Write $6^3=216$ in logarithmic form.

Answer 1

$6^3=216$

Applying $\log$ both sides, we get

${\log }_6{6}^3={\log }_{6}216$

$\Rightarrow 3{\log }_{6}6={\log }_{6}216$ (using $\log a^m=m\log a$)

$\Rightarrow 3={\log }_{6}216$ (using ${\log }_{a}a=1$)

$\therefore {\log }_{6}216=3$