# How do you solve 8=6^x?

Apr 11, 2016

$x \approx 1.16$

#### Explanation:

If
$\textcolor{w h i t e}{\text{XXX}} 8 = {6}^{x}$
then
$\textcolor{w h i t e}{\text{XXX}} {\log}_{6} 8 = x$

${\log}_{6} 8$ can be evaluated using a calculator as $\approx 1.16$