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

1 Answer
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#.