SOLUTION: What is the solution set of LOG8X+LOG8(x-12=2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: What is the solution set of LOG8X+LOG8(x-12=2      Log On


   

Question 238700: What is the solution set of LOG8X+LOG8(x-12=2
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
log%288%2Cx%29+%2B+log%288%2C%28x-12%29%29+=+2
log%288%2Cx%28x-12%29%29+=+2
x%28x-12%29+=+8%5E2
x%28x-12%29+=+64
x%5E2-12x+=+64
x%5E2-12x-64+=+0
%28x-16%29%28x%2B4%29+=+0
.
x = {-4, 16}
We can throw out the -4 because it won't work therefore:
x = 16