SOLUTION: rewrite as a single logarithm 5/6log2(x)+2/3log2(y)-1/2log2(x)-log2(y)

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Question 42302This question is from textbook College Algebra
: rewrite as a single logarithm
5/6log2(x)+2/3log2(y)-1/2log2(x)-log2(y)This question is from textbook College Algebra

Answer by psbhowmick(465) About Me  (Show Source):
You can put this solution on YOUR website!
log2(x) represents logarithm of x to the base 2

%285%2F6%29%2Alog2%28x%29%2B%282%2F3%29%2Alog2%28y%29-%281%2F2%29%2Alog2%28x%29-log2%28y%29

= log2%28x%5E%285%2F6%29%29%2Blog2%28y%5E%282%2F3%29%29+-+log2%28x%5E%281%2F2%29%29-log2%28y%29

= log2%28%28x%5E%285%2F6%29%2Ay%5E%282%2F3%29%29%2F%28x%5E%281%2F2%29%2Ay%29%29

= log2%28x%5E%285%2F6-1%2F2%29%2Fy%5E%281-2%2F3%29%29

= log2%28x%5E%281%2F3%29%2Fy%5E%281%2F3%29%29

= log2%28%28x%2Fy%29%5E%281%2F3%29%29

= %281%2F3%29%2Alog2%28x%2Fy%29%29