SOLUTION: {{{2^(3x)=3^(2x+1)}}}

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Question 934173: 2%5E%283x%29=3%5E%282x%2B1%29
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2^(3x)=3^(2x+1)
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Take the log of both sides::
(3x)log(2) = (2x+1)log(3)
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(3x)/(2x+1) = log(3)/log(2)
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3x/(2x+1) = 1.585
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3x = 1.585(2x+1)
3x = 3.17x + 1.585
0.17x = -1.585
x = -9.324
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Cheers,
Stan H.
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Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
3x*log(2) = (2x+1)*log(3)
Can you do the rest?