# How do you condense (2log7)/3?

Sep 2, 2016

$\frac{2 \log 7}{3} = \log \sqrt[3]{49}$

#### Explanation:

Here we may use the identities $m \log a = \log {a}^{m}$ and $\frac{1}{n} \log a = \log \left({a}^{\frac{1}{n}}\right) = \log \left(\sqrt[n]{a}\right)$

Hence $\frac{2 \log 7}{3}$

= $\log {7}^{2} / 3$

= $\frac{1}{3} \log 49$

= $\log \sqrt[3]{49}$