SOLUTION: We are trying to solve the following problem: {{{2^x=5^(x+1)}}} I understand that it is necessary to get the base the same, but I don't understand how to get 5 to a base of 2.

Question 223206: We are trying to solve the following problem:

I understand that it is necessary to get the base the same, but I don't understand how to get 5 to a base of 2.
Thank you, in advance!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!

Take the log of both sides

log(2) and log(5) are just constants.
x*log(2) = x*log(5) + log(5)
x*log(2) - x*log(5) = log(5)
x*(log(2) - log(5)) = log(5)
x = log(5)/log(0.4)
x = ~ -1.75647

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