SOLUTION: Expand the following Log ( (x^2 - 4) / (x - 2)^2 ) I tried to work through it and came to this answer: 2log(x-4)-2log(x-2) I just want to know if im correct,and if

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Expand the following Log ( (x^2 - 4) / (x - 2)^2 ) I tried to work through it and came to this answer: 2log(x-4)-2log(x-2) I just want to know if im correct,and if       Log On


   

Question 155514: Expand the following
Log ( (x^2 - 4) / (x - 2)^2 )

I tried to work through it and came to this answer:
2log(x-4)-2log(x-2)
I just want to know if im correct,and if not where i went wrong and what the correct answer is. Thank you!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Expand:
log%28%28%28x%5E2-4%29%2F%28x-2%29%5E2%29%29 Apply the quotient rule for logarithms:
log%28%28x%5E2-4%29%29-log%28%28x-2%29%5E2%29 Expand the first term and apply the power rule to the second term to get:
log%28%28%28x-2%29%28x%2B2%29%29%29-2%2Alog%28%28x-2%29%29 Apply the product rule to the first term to get:
log%28%28x-2%29%29%2Blog%28%28x%2B2%29%29-2%2Alog%28%28x-2%29%29 Combine like-terms.
log%28%28x%2B2%29%29-log%28%28x-2%29%29...and there you have it!