Question

(1/6)^×=216 solve for x

Answer 1

$\frac{1}{6}^x=216\\\\ Write\ 216\ as\ (\frac{1}{6})^{-3}\ to\ have\ a\ common\ base\\\\ \frac{1}{6}^x=(\frac{1}{6})^{-3}\\\\ x=-3\\\\Solution\ is\ x=-3.$