SOLUTION: write the expression as a single logarithm log(x^2+2x-3)/(x^2-4)-log(x^2+7x+6)/(x+2) so far i have been able to factor the equations to get log((x+3)(x-1))/((x+2)(x-2))-log(

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: write the expression as a single logarithm log(x^2+2x-3)/(x^2-4)-log(x^2+7x+6)/(x+2) so far i have been able to factor the equations to get log((x+3)(x-1))/((x+2)(x-2))-log(      Log On


   



Question 768302: write the expression as a single logarithm
log(x^2+2x-3)/(x^2-4)-log(x^2+7x+6)/(x+2)
so far i have been able to factor the equations to get
log((x+3)(x-1))/((x+2)(x-2))-log((x+1)(x+6))/(x+2)

if possible show steps.
thank you


Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
write the expression as a single logarithm
log(x^2+2x-3)/(x^2-4)-log(x^2+7x+6)/(x+2)
log((x^2+2x-3)/(x^2-4)/(x^2+7x+6)/(x+2))
log(((x+3)(x-1)/(x+2)(x-2))/((x+6)(x+1)/(x+2)))
log(((x+3)(x-1)/(x+2)(x-2))*((x+2)/(x+6)(x+1)))
(x+2) cancels out
log%28%28%28x%2B3%29%28x-1%29%2F%28x-2%29%2A%28x%2B6%29%28x%2B1%29%29%29