# How do you find the inverse of log(x)=3?

Nov 18, 2016

#### Explanation:

I am assuming that the logarithm is base 10:

${\log}_{10} \left(x\right) = 3$

Make both sides of the equation an exponent of 10:

${10}^{{\log}_{10} \left(x\right)} = {10}^{3}$

Use the property of logarithms, ${b}^{{\log}_{b} \left(x\right)} = x$:

$x = {10}^{3}$

$x = 1000$