Question

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

Answer 1

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`.