# How do you solve log_6 log_6(5x)=log_6 17?

Aug 22, 2016

$x = {6}^{17} / 5$

#### Explanation:

${\log}_{6} {\log}_{6} \left(5 x\right) = {\log}_{6} 17$ is equivalent to

${\log}_{6} \left(5 x\right) = 17$ or

$5 x = {6}^{17}$ or

$x = {6}^{17} / 5$