How do you find the domain, x intercept and vertical asymptotes of #h(x)=log_4(x-3)#?
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:
Now, we have already determined that the domain of
This means that the graph of
The vertical asymptote of