SOLUTION: 1.Solve and check. Show your work. log(x-2)+log(x+1)=2 log 2

Question 1066900: 1.Solve and check. Show your work. log(x-2)+log(x+1)=2 log 2
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
First, raise e to both sides:

The left hand side becomes (x-2)(x+1)
The right hand side becomes
So

x=3 and x=-2.
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Discard x=-2 because log(-2 - 2) = log(-4) is undefined.
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Check x=3: log(3-2)+log(3+1) = log(1) + log(4) = 0 + log(4) = log(2^2) = 2log(2) (ok)
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Answer:

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