SOLUTION: log(6) x + log (6) (x-5) =2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log(6) x + log (6) (x-5) =2      Log On


   



Question 386015: log(6) x + log (6) (x-5) =2
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
log%286%2Cx%29+%2B+log+%286%2C%28x-5%29%29+=2+
log%286%2Cx%28x-5%29%29+=2+
x%28x-5%29+=+6%5E2+
x%5E2-5x+=+36+
x%5E2-5x-36+=+0+
%28x-9%29%28x%2B4%29+=+0+
x = {-4, 9}
Throw out the negative answer--it's an extraneous solution leaving:
x = 9