SOLUTION: Solve 5^x=6^x-1

Question 298731: Solve
5^x=6^x-1
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!

x*log(5) = (x-1)*log(6) = x*log(6) - log(6)
x*log(5) - x*log(6) = -log(6)
x*(log(6) - log(5)) = log(6)
x*log(6/5) = log(6)
x = log(6)/log(6/5)
x =~ 9.827469

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