SOLUTION: How do i write this as a single logarithm:ln (x/x-1)+ln (x+1/x)-ln (x^2-1)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How do i write this as a single logarithm:ln (x/x-1)+ln (x+1/x)-ln (x^2-1)      Log On


   

Question 558183: How do i write this as a single logarithm:ln (x/x-1)+ln (x+1/x)-ln (x^2-1)
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
ln(x/(x-1))+ln((x+1)/x)-ln(x^2-1)
%28x%2F%28x-1%29%29%2A%28%28x%2B1%29%2Fx%29%2F+%28x%5E2-1%29+
= %28%28x-1%29%2F%28x%2B1%29%29%2F%28%28x%2B1%29%28x-1%29%29
= %28%28x-1%29%2F%28x%2B1%29%29%2A+%281%2F%28%28x%2B1%29%28x-1%29%29%29
=ln%281%2F%28x%2B1%29%5E2%29