You can put this solution on YOUR website! I'm going to assume your symbol means "absolute value".
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Solve
(a) 〖 4〗^x=8,
4^x = 2^3
2^(2x) = 2^3
2x = 3
x = 3/2
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(b) 〖 2〗^8÷8=2^(x-1)
2^8 + 8 = 2^(x-1)
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256+8 = 2^(x-1)
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264 = 2^(x-1)
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(x-1)*log(2) = log(264)
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x-1 = log(264)/log(2) = 8.0444
x = 9.0444
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Cheers,
Stan H.