SOLUTION: Write each expression as a sum or difference of logarithms. Then simplify, if possible. log with the little 2 next to it 8xy

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Question 396835: Write each expression as a sum or difference of logarithms. Then simplify, if possible.
log with the little 2 next to it 8xy
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%2C+%288xy%29%29
First let's learn how to read or describe this. This expression is "the base 2 logarithm of 8xy".

To write this expression as a sum or difference, we will use a property of logarithms: log%28a%2C+%28p%2Aq%29%29+=+log%28a%2C+%28p%29%29+%2B+log%28a%2C+%28q%29%29. This property allows us to write a logarithm of a product as the sum of the logarithms of each factor. Using this property on your logarithms we get:
log%282%2C+%288%29%29+%2B+log%282%2C+%28x%29%29+%2B+log%282%2C+%28y%29%29