# What is the solution set of 1/2 log_(7)x = 4 log_(7)2 - log_(7)4?

$\left\{16\right\}$
${\log}_{7} {x}^{\frac{1}{2}} = {\log}_{7} \frac{{2}^{4}}{4}$
$\sqrt{x} = \frac{16}{4}$
$x = {4}^{2}$