SOLUTION: How do I solve for log square root of x/y?

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Question 132329: How do I solve for log square root of x/y?
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
What is log%2810%2C%28sqrt%28x%2Fy%29%29%29 equal to? You cannot solve this as this is not an equation. However, you can simplify


log%2810%2C%28sqrt%28x%2Fy%29%29%29 Start with the given equation


log%2810%2C%28%28x%2Fy%29%5E%281%2F2%29%29%29 Convert from radical notation to exponent notation

%281%2F2%29log%2810%2C%28x%2Fy%29%29 Rewrite the expression using the identity log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29


%281%2F2%29%28log%2810%2C%28x%29%29-log%2810%2C%28y%29%29%29 Break up the log using the identity log%28b%2C%28A%2FB%29%29=log%28b%2C%28A%29%29-log%28b%2C%28B%29%29