The logarithmic functions are , ,  and .

Change of base formula : .

Rewrite the functions using change of base formula.

Consider .

Rewrite the function.

Consider .

Consider .

Consider .

Graph:

Graph the functions , ,  and .

Observe the graph.

Since the functions in the form of  where , the graphs stretch graph of the function  vertically by a factor .

All the graphs are passing through the point  and all are increasing over the domain.

As the base of the function is increasing, the rate of increase of the function slows down.

Graph:

All the graphs are passing through the point  and all are increasing.

Greater the base of the function, slower the rate of increase.