SOLUTION: Show work, write the expression as a single logarithm. Express powers as factors Ln(x/x-6)+ln(x+6/x)-ln(x²-36)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Show work, write the expression as a single logarithm. Express powers as factors Ln(x/x-6)+ln(x+6/x)-ln(x²-36)       Log On


   

Question 674882: Show work, write the expression as a single logarithm. Express powers as factors
Ln(x/x-6)+ln(x+6/x)-ln(x²-36)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Show work, write the expression as a single logarithm. Express powers as factors
Ln(x/x-6)+ln(x+6/x)-ln(x²-36)
ln[(x/(x-6)*(x+6)/x)/(x^2-36)]
ln[(x(x+6)/x(x-6))/(x+6)(x-6)]
ln[[(x(x+6)/x(x-6))*(x+6)(x-6)]
ln[1/(x-6)^2]