SOLUTION: How can i express 1/2LogaX+4LogaY-3LogaX as a single logarithm

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Question 678267: How can i express 1/2LogaX+4LogaY-3LogaX as a single logarithm
Answer by pmatei(79) About Me  (Show Source):
You can put this solution on YOUR website!
Use first the power property: log%28a%2Cx%5Eb%29+=+b%2Alog%28a%2Cx%29 to bring the powers back under the logarithms:
log%28a%2Cx%5E%281%2F2%29%29+%2B+log%28a%2Cy%5E4%29+-+log%28a%2Cx%5E3%29
Then you can use the properties of product +log%28a%2Cxy%29+=+log%28a%2Cx%29+%2B+log%28a%2Cy%29 and quotient log%28a%2Cx%2Fy%29+=+log%28a%2Cx%29+-+log%28a%2Cy%29:
log%28a%2C%28y%5E4sqrt%28x%29%2F%28x%5E3%29%29%29