SOLUTION: 3^2x+5 = 5^6-x

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Question 833505: 3^2x+5 = 5^6-x
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3^(2x+5) = 5^(6-x)
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(2x+5)log(3) = (6-x)log(5)
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2xlog(3) + xlog(5) = -5log(3)+6log(5)
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xlog(9) + xlog(5) = -5log(3)+6log(5)
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x = [-5log(3)+6log(5)]/[log(9)+log(5)]
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x = 1.0938
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Cheers,
Stan H.
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