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 ->  Exponential-and-logarithmic-functions -> 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.       Log On


   

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) About Me  (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))