SOLUTION: {{{6^x*5^(x-1)=7}}}

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Question 172997: 6%5Ex%2A5%5E%28x-1%29=7
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
6%5Ex%2A5%5E%28x-1%29=7
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x*log(6) + (x-1)*log(5) = log(7) (all logs have the same base)
x*(log(6)+log(5)) = log(7) + log(5)
x*log(30) = log(35)
x = log(35)/log(30)
x = 1.045322474