# How do you calculate  log_7 10?

Sep 14, 2016

${\log}_{7} 10 = 1.1833$

#### Explanation:

Let ${\log}_{7} 10 = x$

Then $10 = {7}^{x}$ and $\log 10 = \log {7}^{x} = x \log 7$

and $x = \log \frac{10}{\log} 7 = \frac{1}{0.8451} = 1.1833$ or

${\log}_{7} 10 = 1.1833$