Answer
$x=\dfrac{1}{2}$
Work Step by Step
$9^{2x+1}=81$
Rewrite $81$ as $9^{2}$:
$9^{2x+1}=9^{2}$
If $9^{2x+1}=9^{2}$, then $2x+1=2$
$2x+1=2$
Solve for $x$:
$2x=2-1$
$2x=1$
$x=\dfrac{1}{2}$
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