Question 365945: Hello, I am working a test review sheet for a test coming up but I have a problem that I am not sure how to work out and I can't find a similar example in my notes or text book. I simply need to solve the equation below.
5^(x+1)= 6^(2x)
I am not sure when I go about combing the x's and getting them off to one side. I can't combine them now because they do not have like bases and even if they did, that would leave one side empty. If I make them into logs...
(x+1) log(5) = (2x) log(6)
... does that even work?
Thanks in advance!
Answer by amoresroy(361)   (Show Source):
You can put this solution on YOUR website! 5^(x+1)= 6^(2x)
I am not sure when I go about combing the x's and getting them off to one side. I can't combine them now because they do not have like bases and even if they did, that would leave one side empty. If I make them into logs...
(x+1) log(5) = (2x) log(6)
Yes, you are on the right track
2x/(x+1) = log 5/ log 6
Solve for x
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