# How do you solve log x - log 3 = 2?

Jan 20, 2016

Use the property of logs , then exponentiate both sides of the equation ...

#### Explanation:

$\log x - \log 3 = 2$

$\log \left(\frac{x}{3}\right) = 2$

Assuming base 10 , exponentiate ...

${10}^{\log} \left(\frac{x}{3}\right) = {10}^{2}$

Simplify ...

$\frac{x}{3} = 100$

$x = 300$

Hope that helped