SOLUTION: What is log(base)3(x+1)-log(base)3(X+5)=2

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Question 678858: What is log(base)3(x+1)-log(base)3(X+5)=2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
log(base)3(x+1)-log(base)3(X+5)=2
You can write this as a single log, neg means divide
log3%28%28x%2B1%29%2F%28x%2B5%29%29 = 2
:
Write it as the exponent equiv of logs
%28x%2B1%29%2F%28x%2B5%29 = 3%5E2
%28x%2B1%29%2F%28x%2B5%29 = 9
Mult both sides by (x+5)
x + 1 = 9(x+5)
x + 1 = 9x + 45
1 - 45 = 9x - x
-44 = 8x
x = -44/8
x = -5.5, you can't have a neg value in a log, so I don't think this is a valid problem