SOLUTION: log3(x-3)-2+log3(x+5)=0 What is the value of X?

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Question 356237: log3(x-3)-2+log3(x+5)=0
What is the value of X?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
log%283%2C%28x-3%29%29+%2B+log%283%2C%28x%2B5%29%29+=+2
log%28%28x-3%29%2A%28x%2B5%29%29+=+log%289%29 logs base 3
(x-3)*(x+5) = 9
x%5E2+%2B+2x+-+24+=+0
(x+6)(x-4) = 0
x = -6 is not allowed
--> x = 4