Answer
{$\frac{55}{8}$}
Work Step by Step
$\log_{7} (8x-6)=2$
$8x-6=7^{2}$
$8x-6=49$
$8x-6+6=49+6$
$8x=55$
$\frac{8x}{8}=\frac{55}{8}$
$x=\frac{55}{8}$
Therefore the solution set is {$\frac{55}{8}$}.
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