SOLUTION: what is the sum of the solution of the equation log2)(x+2)+log(2)(3-x)=2

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Question 950484: what is the sum of the solution of the equation log2)(x+2)+log(2)(3-x)=2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%2C%28x%2B2%29%29%2Blog%282%2C%283-x%29%29=2
log%282%2C%28%28x%2B2%29%283-x%29%29%29=2
%28x%2B2%29%283-x%29=2%5E2
3x-x%5E2%2B6-2x=4
-x%5E2%2Bx%2B6=4
-x%5E2%2Bx%2B2=0
x%5E2-x-2=0
%28x-2%29%28x%2B1%29=0
Two solutions:
x-2=0
x=2
and
x%2B1=0
x=-1
Verify that these are actually solutions by plugging them into the original equation.