# How do you evaluate log 10,000?

Apr 7, 2018

$4$

#### Explanation:

We got:

$\log 10 , 000$

The general base of a $\log$ is $10$, so we got:

$= {\log}_{10} \left(10 , 000\right)$

Let $x = {\log}_{10} \left(10 , 000\right)$

Then we have:

${10}^{x} = 10 , 000$

But we know that, $10 , 000 = {10}^{4}$.

$\iff {10}^{x} = {10}^{4}$

$\therefore x = 4$