# How do you find the domain of y=log_3 (x-2)?

Oct 5, 2016

The domain is: D=(2;+oo). See explanation.

#### Explanation:

The domain of a function is the biggest subset of real numbers set for which the value of function is defined.

Here we have to assume that $x - 2 > 0$ because logarythm is only defined for positive numbers. So we get:

$x - 2 > 0$

$x > 2$

If we write this set as an interval we get: x in (2;+oo)