Answer
$x=1/4$
Work Step by Step
$4^{x}=2^{1/2}$
$(2^{2})^{x}=2^{1/2}$
$(2^{2x})=2^{1/2}$ (since $(a^{b})^{c}=a^{bc}$)
$2x=1/2$
$x=1/4$
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