# Question #d5146

Aug 29, 2017

$x = 0.633$ to 3 s.f.

#### Explanation:

Let's put logs in and rearrange equation to have $x$ on its own.

$5 x \log 7 = \log 475 \to 5 x = \log \frac{475}{\log} 7$

$5 x = 3.1673$

Divide by 5 to get $x$ on its own:

$x = \frac{3.1673}{5}$

$x = 0.633$ to 3 s.f.