SOLUTION: What does x equal if 9^2x+1=27^x And... What does x equal if log x+log 5=2

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Question 700587: What does x equal if 9^2x+1=27^x

And...

What does x equal if log x+log 5=2

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
What does x equal if 9^2x+1=27^x
9^(2x+1) = 27^x
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Change the base:
3^(4x+2) = 3^(3x)
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Equate the exponents:
4x+2 = 3x
x = -2
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And...
What does x equal if log x+log 5=2
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log(5x) = 2
5x = 10^2
5x = 100
x = 20
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Cheers,
Stan H.
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