SOLUTION: solve the equation: logx(x+2)+logx(x+3)=2

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Question 1068645: solve the equation:
logx(x+2)+logx(x+3)=2
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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No solution exists.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
logx(x+2)+logx(x+3)=2
If x is the base:
log%28x%2C%28x%2B2%29%2A%28x%2B3%29%29+=+log%28x%2Cx%5E2%29
%28x%2B2%29%2A%28x%2B3%29+=+x%5E2
x%5E2+%2B+5x+%2B+6+=+x%5E2
5x = -6
x = -6/5
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A negative base won't work.
No solution.