For this problem all we need to do is recall the Transformations section from a couple of chapters ago. Using the “base” function of \(f\left( x \right) = \ln \left( x \right)\) the function for this part can be written as,

Therefore, the graph for this part is just the graph of \(f\left( x \right)\) shifted down by 4.

The graph of this function is shown below. The blue dashed line is the “base” function, \(f\left( x \right)\), and the red solid line is the graph for this part, \(g\left( x \right)\).