# How do you calculate Log_10 root3(10 )?

Apr 14, 2016

#### Answer:

For this problem, you will use the following log properties: ${\log}_{a} a = 1$ and $\sqrt[n]{m} = {m}^{\frac{1}{n}}$

#### Explanation:

${\log}_{10} \left({10}^{\frac{1}{3}}\right)$

Use the log property $\log {a}^{n} = n \log a$

$= \frac{1}{3} {\log}_{10} \left(10\right)$

$= \frac{1}{3}$