Answer
$x=\frac{2}{3}$
Work Step by Step
$\log_{x}\frac{16}{81}=2$
means that x must be raised to the power of 2 to get $\frac{16}{81}$.
$x^2=\frac{16}{81}$
$x=\sqrt{\frac{16}{81}}$
$x=\frac{4}{9}$
$x=\frac{2}{3}$
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