# How do you condense 2 log x - 3 log y?

Aug 7, 2016

$\log \left({x}^{2} / {y}^{3}\right)$

#### Explanation:

If two log terms are subtracted, the numbers are being divided.

$2 \log x - 3 \log y = \log {x}^{2} - \log {y}^{3} \text{ power law}$

=$\log \left({x}^{2} / {y}^{3}\right)$