Question 455078
Solve give completely simplified answers in terms of natural logs. 
3^x = 5^x-1 
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Assuming x-1 is the exponent of 5:
x*log(3) = (x-1)*log(5)
x*log(3) = x*log(5) - log(5)
x(log(3) - log(5)) = -log(5)
x = log(5)/(log(5) - log(3))
just calculator work from there
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Ooh, natural logs
x = ln(5)/(ln(5) - ln(3))