# How do you evaluate log_343 3?

Sep 17, 2016

${\log}_{343} 3 = 0.1882$

#### Explanation:

Let ${\log}_{343} 3 = x$

then ${343}^{x} = 3$

or $\log \left({343}^{x}\right) = \log 3$

or $x \times \log 343 = \log 3$

or $x = \log \frac{3}{\log} 343 = \frac{0.4771}{2.5353} = 0.1882$

Hence, ${\log}_{343} 3 = 0.1882$