Question

An exponential function is the inverse of a logarithmic function.
A)True
B)False

Answer 1

the correct answer is

A) True

Answer 2

The given statement is true.

Explanation:

The graph of the inverse function is reflection about the line y = x from the graph of the function.

Apart from these the domain of the inverse function is the range of the function and the range of the inverse function is the domain of the function.

Let us graph the functions
`y=e^x` and
`y=\ln x`

The exponential function always passes through the point (0,1) and logarithm function passes through the point (1,0).

From the graph we can see that the graph of exponential function is the reflection about the line y=x.

Hence, exponential function is the inverse of a logarithmic function.

Thus, the given statement is true.