Answer
$x=\dfrac{1}{16}$
Work Step by Step
RECALL:
$\log_b{x}= y \longrightarrow b^y=x$
Use the rule above to obtain:
$2^{-4}=x
\\\dfrac{1}{2^4}=x
\\\dfrac{1}{2(2)(2)(2)}=x
\\\dfrac{1}{16}=x$
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