Verified Answer :

Figured it'd be easier to do by hand, so see the attached.

I got x = -6/5

kate200468

\(64^{x-2}=256^{2x}\\ \\(4^3)^{x-2}=(4^4)^{2x}\\ \\4^{3x-6}=4^{8x}\ \ \ \ \Leftrightarrow\ \ \ \ 3x-6=8x\\\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x-8x=6\\\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -5x=6\ \ \ \ \Leftrightarrow\ \ \ \ x=- \frac{6}{5}\)

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