Chapter 11.4, Problem 1CFU

To determine

To compare: The graphs of $y=3^x$ and $y={\log }_{3}x$ .

Answer to Problem 1CFU

The comparison is given below.

Explanation of Solution

The graphs of $y=3^x$ and $y={\log }_{3}x$ are shown below:

Figure 1

Form the graph, it is clear that both the graphs are mirror images of each other. This implies that one is the inverse function of the other. The domain of $y=3^x$ is the range of $y={\log }_{3}x$ and vice versa.