SOLUTION: Hello I guess the questions I need help with is: {{{3^(x+2)=5^(x-1)}}} What I have tried to do is take the log of both sides which gave me(x+2)*log3=(x-1)*log5, I then tried to get

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hello I guess the questions I need help with is: {{{3^(x+2)=5^(x-1)}}} What I have tried to do is take the log of both sides which gave me(x+2)*log3=(x-1)*log5, I then tried to get      Log On


   

Question 873868: Hello I guess the questions I need help with is: 3%5E%28x%2B2%29=5%5E%28x-1%29 What I have tried to do is take the log of both sides which gave me(x+2)*log3=(x-1)*log5, I then tried to get the logs on one side and the other terms on one side and was left with (x+2)/(x-1)=log5/log3 and I don't think I am doing this correctly. Any help provided is greatly appreciated.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Hello I guess the questions I need help with is: 3%5E%28x%2B2%29=5%5E%28x-1%29 What I have tried to do is take the log of both sides which gave me
(x+2)*log3=(x-1)*log5
Expand it
x*log(3) + 2log(3) = x*log(5) - log(5)
Collect x terms
x*log(3) - x*log(5) = - log(5) - log(9)
x*(log(5) - log(3)) = log(5) + log(9) = log(45)
x = log(45)/log(5/3)