Answer
$x=5$
Work Step by Step
$3^{2x-7}=27$
Rewrite $27$ as $3^{3}$:
$3^{2x-7}=3^{3}$
If $3^{2x-7}=3^{3}$, then $2x-7=3$
$2x-7=3$
Solve for $x$:
$2x=3+7$
$2x=10$
$x=\dfrac{10}{2}$
$x=5$
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