# How do you condense 4 ln x + 3 ln y?

Jun 14, 2016

$4 \ln x + 3 \ln y = \ln \left({x}^{4} {y}^{3}\right)$

#### Explanation:

Using $p {\log}_{a} m = {\log}_{a} {m}^{p}$ and $\log a + \log b - \log c = \log \left(\frac{a b}{c}\right)$

$4 \ln x + 3 \ln y$

= $\ln {x}^{4} + \ln {y}^{3}$

= $\ln \left({x}^{4} {y}^{3}\right)$