SOLUTION: Can you please help me solve and simplify? log(x²-4)-log(x+2)=log(3-x)

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Question 616056: Can you please help me solve and simplify?
log(x²-4)-log(x+2)=log(3-x)
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
log%28x%5E2-4%29-log%28x%2B2%29=log%283-x%29
log%28%28x%5E2-4%29%2F%28x%2B2%29%29=log%283-x%29
%28x%5E2-4%29%2F%28x%2B2%29=+3-x
%28x%5E2-4%29=+%28x%2B2%29%283-x%29
x%5E2-4+=+3x-x%5E2%2B6-2x
x%5E2-4+=+x-x%5E2%2B6
2x%5E2-4+=+x%2B6
2x%5E2-x-4+=+6
2x%5E2-x-10+=+0
%282x-5%29%28x%2B2%29+=+0
x = {-2, 5/2}
you can throw out the negative solution (extraneous) leaving:
x = 5/2