SOLUTION: Show that log base 9 (xy^2) = 1/2 log base 3 x + log base 3 y

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Question 1072646: Show that log base 9 (xy^2) = 1/2 log base 3 x + log base 3 y
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Written better, log%289%2C%28xy%5E2%29%29=%281%2F2%29log%283%2Cx%29%2Blog%283%2Cy%29

Start with left hand side.

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%28log%283%2Cx%29%2B2%2Alog%283%2Cy%29%29%2F%282%2Alog%283%2C3%29%29

%28log%283%2Cx%29%2B2%2Alog%283%2Cy%29%29%2F%282%2A1%29

%28log%283%2Cx%29%2B2%2Alog%283%2Cy%29%29%2F2

log%283%2Cx%29%2F2%2B%282%2F2%29log%283%2Cy%29

Same as RHS
DONE