SOLUTION: How do I solve log(x-5)+log(x+3)=2?

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Question 372984: How do I solve log(x-5)+log(x+3)=2?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The given equation is the same as log%28%28x-5%29%28x%2B3%29%29+=+2, or
log%28%28x%5E2-2x-15%29%29+=+2, or
x%5E2+-+2x+-+15+=+10%5E2. Simplifying,
x%5E2-2x+-+115+=+0,
x+=+%282%2B-+sqrt%28%28-2%29%5E2-4%2A1%2A-115%29%29%2F2%29+ ,
x+=+%282%2B-+sqrt%28464%29%29%2F2%29,
x+=+%282%2B-+4sqrt%2829%29%29%2F2%29,
x+=+1%2B-+2sqrt%2829%29.
Only the root 1%2B2sqrt%2829%29 will satisfy the original equation.