# How do you find the domain and range of y = log (x - 2) + 1?

Sep 2, 2015

See below.

#### Explanation:

$y = \log \left(x - 2\right) + 1$

The logarithm of zero or a negative number is undefined, so $x$ must be greater than $2$.

The domain is $x > 2$.

The value of a logarithm can be any real number, so the range is all real numbers.