SOLUTION: x^logy . y^logx = 36 Find logy . logx

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Question 1205981: x^logy . y^logx = 36
Find logy . logx
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

ASSUMING you have this:
x%5Elog%28y+%29%2A+y%5Elog%28x%29+=+36...take log of both sides
log%28%28x%5Elog%28y+%29%2A+y%5Elog%28x%29%29%29+=+log%2836%29
log%28x%5Elog%28y+%29%29%2Blog%28+y%5Elog%28x%29%29+=+log%286%5E2%29
log%28y+%29%2Alog%28x%29%2Blog%28x%29%2Alog%28+y%29+=+2log%286%29
2log%28x%29%2Alog%28+y%29+=+2log%282%2A3%29
log%28x%29%2Alog%28+y%29+=+log%282%29%2Blog%283%29