SOLUTION: rewrite the expression as a single logarithm 3*ln(x)+2*ln(y)-(1/3)ln(z)

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Question 328678: rewrite the expression as a single logarithm
3*ln(x)+2*ln(y)-(1/3)ln(z)

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
3 log x + 2 log y-1/3 log z

First, by the third law of logarithms, the coefficients become exponents like this:

log+x%5E3+%2B+log+y%5E2+-+log+z%5E%281%2F3%29

Now by the first and second laws of logarithms, this can be written:
log%28%28x%5E3y%5E2%29%2F%28z%5E%281%2F3%29%29%29

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Seminole State College of Florida
Altamonte Springs Campus