Question 616809: Need help solving for x:
2^(3x-2) = 3^(2x+1)
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Need help solving for x:
2^(3x-2) = 3^(2x+1)
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Take the log of both sides:
(3x-2)*log(2) = (2x+1)*log(3)
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Get the x-terms together:
3x*log(2) - (2x)*log(3) = log(3)-2log(2)
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x[3log(2) - 2log(3)] = log(3)-2log(2)
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x = log[3/4]/log[8/9]
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x = 2.4425
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Cheers,
Stan H.
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