SOLUTION: Step-by-step solution of: {{{ 2^(3x+1)=5^(2x-7) }}}

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Question 1087278: Step-by-step solution of:
+2%5E%283x%2B1%29=5%5E%282x-7%29+
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
+2%5E%283x%2B1%29=5%5E%282x-7%29+
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(3x-1)*log(2) = (2x-7)*log(5)
3x*log(2) - log(2) = 2x*log(5) - 7log(5)
3x*log(2) - 2x*log(5) = log(2) - 7log(5)
x*(3log(2) - 2log(5)) = log(2) - 7log(5)
x*(log(8) - log(25)) = log(2) - 7log(5^7)
x*log(8/25) = log(2/78125)
x = log(2/78125)/log(8/25)
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Use a calculator for an approximation.