# How do you change 6^3 = 216 into log form?

Jun 4, 2016

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

#### Explanation:

${6}^{3} = 216$

Apply ${\log}_{6}$ to both sides
$\implies {\log}_{6} {6}^{3} = {\log}_{6} 216$

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

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