Answer
$\boxed{x=\displaystyle \frac{1}{6}}$
Work Step by Step
$-2=\log_{x}(36)\ \ $ means $\ \ x^{-2}=36$
.
$x^{-2}=6^{2}$
$x^{2}=(\displaystyle \frac{1}{6})^{-2}$
$\boxed{x=\displaystyle \frac{1}{6}}$
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