SOLUTION: Solve for x correct to four decimal places: {{{ 7^x=9^(x-6) }}}

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Question 464595: Solve for x correct to four decimal places: +7%5Ex=9%5E%28x-6%29+
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
7^x=9^(x-6)
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Since the variable is in the exponent, take the log of both sides:
x*log(7) = (x-6)*log(9)]
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x[log(7)-log(9)] = -6log(9)
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x[-0.1091] = -5.7255
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x = 52.479
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Cheers,
Stan H.