Answer
$ x=2$
Work Step by Step
$ 2^{4x-2}=64\qquad $ ... recognize 64 as a power of 2
$2^{4x-2}=2^{6}\qquad $... If $ b^{M}=b^{N}$, then $ M=N $
$4x-2=6\qquad $...$/+2$
$4x=8\qquad $...$/\div 4$
$ x=2$
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