Question

log xy^2/Z

is equalivent to 2logxy-logz, is this true?

if not, expand it

Answer 1

I'm going to use these log rules

http://www.purplemath.com/modules/logrules.htm


\[\Large \log\left(\frac{xy^2}{z}\right)\]

\[\Large \log\left(xy^2\right)-\log\left(z\right) ... \text{Rule 2}\]

\[\Large \log\left(x\right)+\log\left(y^2\right)-\log\left(z\right) ... \text{Rule 1}\]

\[\Large \log\left(x\right)+2\log\left(y\right)-\log\left(z\right) ... \text{Rule 3}\]

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So \[\Large \log\left(\frac{xy^2}{z}\right)\] is equivalent to \[\Large \log\left(x\right)+2\log\left(y\right)-\log\left(z\right)\]

Answer 2

thanks!

Answer 3

yw