# How do you find the domain and range of #y = log(2x -12)#?

##### 1 Answer

For domain, the argument of the logarithm must be greater than 0.

Domain:

Range:

#### Explanation:

For domain:

The argument of the logarithm (stuff inside the log) must be greater than 0. This is because logarithm can be viewed as the inverse of an exponential function. For example:

This can be represented by, in exponential form,

10 raised to any exponent cannot get a negative number or be equal to zero, thus

So solve

The domain is

For range

For any logarithmic function of the form