SOLUTION: prove that log base a of x × log base b of y = log base b of x × log base a of y

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Question 1040181: prove that log base a of x × log base b of y = log base b of x × log base a of y
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
To prove the statement, first note that log%28a%2Cb%29%2Alog%28b%2Ca%29+=+1, since
log%28a%2Cb%29+=+%28log%28b%2Cb%29%29%2F%28log%28b%2Ca%29%29+=+1%2F%28log%28b%2Ca%29%29+, by direct use of the change-of-base formula.
Thus...