SOLUTION: what is the value of x in the logarithm log(base)3(x^2-4)-Log(base)3(x+2)=2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: what is the value of x in the logarithm log(base)3(x^2-4)-Log(base)3(x+2)=2      Log On


   



Question 304611: what is the value of x in the logarithm log(base)3(x^2-4)-Log(base)3(x+2)=2
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
what is the value of x in the logarithm log(base)3(x^2-4)-Log(base)3(x+2)=2
.
log%283%2Cx%5E2-4%29-+log%283%2Cx%2B2%29+=+2
log%283%2C%28x%5E2-4%29%2F%28x%2B2%29%29+=+2
log%283%2C%28%28x-2%29%28x%2B2%29%29%2F%28x%2B2%29%29+=+2
log%283%2Cx-2%29+=+2
x-2+=+3%5E2
x-2+=+9
x+=+11