Answer
$x = -5$
Work Step by Step
$(\frac{1}{2})^{x} = 32$
$2^{-x} = 2^{5}$
$-x = 5$
$x = -5$
Check:
$=( \frac{1}{2})^{-5}$
$= 2^{5}$
$= 32$
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