# How do you find the domain, x intercept and vertical asymptotes of #h(x)=log_4(x-3)#?

##### 1 Answer

Aug 15, 2017

#### Explanation:

We have:

For the domain of this function, we must consider the argument of the logarithm.

The argument of any logarithmic number must be greater than

The domain of

Then, let's set

Using the laws of logarithms:

The

Now, we have already determined that the domain of

This means that the graph of

The vertical asymptote of