SOLUTION: What is the result in simple algorithm of 3logx+1/2logy

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Question 1159345: What is the result in simple algorithm of 3logx+1/2logy
Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the result in simple algorithm of 3logx+1/2logy
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Depends.
Is it (1/2)log(y) ?
3*log(x + 1/2*log(y)) ?
Or 1/(2log(y)) ?

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Tutor @alan is correct in that parentheses should be used to make the meaning of the expression clear. However, there is only one interpretation of the expression as you show it that makes any sense.

3%2Alog%28%28x%29%29+%2B+%281%2F2%29%2Alog%28%28y%29%29

The addition of the two log expressions indicates a multiplication; the multiplication of each log expression indicates an exponent:

3%2Alog%28%28x%29%29+=+log%28%28x%5E3%29%29
%281%2F2%29log%28%28y%29%29+=+log%28%28y%5E%281%2F2%29%29%29