SOLUTION: Condense 6log2x-36 log 2 y

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Question 194745: Condense
6log2x-36 log 2 y
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
6log%282%2C%28x%29%29-36log%282%2C%28y%29%29 Start with the given expression.


log%282%2C%28x%5E6%29%29-log%282%2C%28y%5E%2836%29%29%29 Rewrite the logs using the identity y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%29%29


log%282%2C%28%28x%5E6%29%2F%28y%5E%2836%29%29%29%29 Combine the logs using the identity log%28b%2C%28A%29%29-log%28b%2C%28B%29%29=log%28b%2C%28A%2FB%29%29


So where every variable is positive.