SOLUTION: {{{logx^2+logy-3logx-logy^2}}}. as single logarithm

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Question 105931: logx%5E2%2Blogy-3logx-logy%5E2. as single logarithm
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
logx%5E2%2Blogy-3logx-logy%5E2
:
Adding logs means multiply so can have:
log%28%28x%5E2y%29%29+-+3log%28%28x%29%29+-+log%28%28y%5E2%29%29
:
The exponent equiv of 3*log
log%28%28x%5E2y%29%29+-+log%28%28x%5E3%29%29+-+log%28%28y%5E2%29%29
:
We have to combine the minus logs like this:
log%28%28x%5E2y%29%29+-+log%28%28x%5E3y%5E2%29%29
:
Subtract means divide
log%28%28x%5E2y%2Fx%5E3y%5E2%29%29 = log%28%281%2Fxy%29%29
:
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