SOLUTION: Solve for X log(x + 8) − log(8x + 1) = log x

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve for X log(x + 8) − log(8x + 1) = log x      Log On


   

Question 1002415: Solve for X
log(x + 8) − log(8x + 1) = log x
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

log%28%28x+%2B+8%29%29+-+log%28%288x+%2B+1%29%29+=+log%28%28+x%29%29
log%28%28x+%2B+8%29%2F%288x+%2B+1%29%29+=+log%28%28+x%29%29....if log same, then
%28x+%2B+8%29%2F%288x+%2B+1%29+=++x.........solve for x
%28x+%2B+8%29+=++x%288x+%2B+1%29
x+%2B+8+=+8x%5E2+%2B+x
8=+8x%5E2+%2B+x-x
8=+8x%5E2+
8%2F8=x%5E2+
x%5E2=1+
x=sqrt%281%29+
x=1+ or x=-1+ since we have log, disregard negative solution (log of negative number is undefined)