# How do you find the domain of the following function g(x) = log_3(x - 4)?

Dec 15, 2015

The domain is $x > 4$.

#### Explanation:

To find a domain of any logarithmic expression (the base doesn't matter), you need to find out for which $x$ the argument of the logarithmic expression is greater than zero.

So, in your case, all you need to do is set

$x - 4 = 0$

and solve this simple equation:

$x = 4$

This means that your domain is $x > 4$ and your function is only defined for such $x$.