SOLUTION: solve the following exponential equation by expressing each side as a power of the same base and then equating exponents. 8^2x-9=512

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: solve the following exponential equation by expressing each side as a power of the same base and then equating exponents. 8^2x-9=512      Log On


   

Question 764377: solve the following exponential equation by expressing each side as a power of the same base and then equating exponents.
8^2x-9=512
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve the following exponential equation by expressing each side as a power of the same base and then equating exponents.
8^2x-9=512
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(2^3)^(2x-9) = 2^9
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2^(6x-27) = 2^9
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6x-27 = 9
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6x = 36
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x = 6
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Cheers,
Stan H.
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