# How do you expand log AB^2?

Jun 19, 2018

$\log A + 2 \log B$

#### Explanation:

Using the product property, we have

$\log \left(A {B}^{2}\right) = \log A + \log {B}^{2}$

The power is moved in the front:

$\log {B}^{2} = 2 \log B$

$\therefore \log \left(A {B}^{2}\right) = \log A + 2 \log B$