SOLUTION: I am trying to solve this problem: 7^x=8^(x+7) I'm looking not just for the answer...I need to know how to solve it.

Algebra.Com
Question 545044: I am trying to solve this problem:
7^x=8^(x+7)
I'm looking not just for the answer...I need to know how to solve it.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
7^x=8^(x+7)
-------
x*log(7) = (x+7)*log(8) = x*log(8) + 7log(8)
x*(log(7) - log(8)) = 7log(8)
x = 7log(8)/(log(7) - log(8))

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