# How do you evaluate  log 100?

Apr 15, 2018

$\log \left(100\right) = 2$

#### Explanation:

In this section (inverse of exponential functions) the way to describe it is as the number that as an exponent of 10 would result in the value of 100.
E.g. ${10}^{2} = 100$

Without a calculator the original expression ${10}^{x} = 100$ would need to be solved with a logarithm table. In this particular case we can use the known relationship to see that any multiple of 10 would be a whole number.

I.e. $\log \left(1\right) = 0$
$\log \left(10\right) = 1$
$\log \left(100\right) = 2$
$\log \left(1000\right) = 3$
$\log \left(10000\right) = 4$
$\log \left(100000\right) = 5$