SOLUTION: (1/2)^(3x-6)=8^(x+1)

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Question 677085: (1/2)^(3x-6)=8^(x+1)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(1/2)^(3x-6)=8^(x+1)
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Convert both sides to the same base:
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(2^-1)^(3x-6) = (2^3)^(x+1)
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= (2)^(-3x+6) = (2)^(3x+3)
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Equate the exponents:
-3x+6 = 3x+3
6x = 3
x = 1/2
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Cheers,
Stan H.