# How do you solve log x=3?

Sep 17, 2015

$x = 1000$

#### Explanation:

Remember the definition of logarithm, that is
If ${\log}_{b} \left(a\right) = c$ is true, then $a = {b}^{c}$, and if no base is explicitly put we always assume it's the base 10 (unless it's written as $\ln x$ in which case the base is the irrational number $e$)

$\log x = 3 \rightarrow x = {10}^{3} \rightarrow x = 1000$