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Solve for x 64^x-2=256^2x

Solve for x 64^x-2=256^2x
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Solve for x 64^x-2=256^2x

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User Ralokt
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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=- (6)/(5)
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User DomiSchenk
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