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Chapter 10: Q2. (page 535)

Describe the relationship between y=3x and y=log3x

Short Answer

Expert verified

y=3x and y=log3x are inverse functions of each other.

Step by step solution

01

Step 1. Given Information.

The relationship between the functions y=3x and y=log3x is to be determined.

02

Step 2. Explanation.

The function y=3xis an exponential function.

The logarithmic equivalent of this exponential function is:

y=3xx=log3y

This equation looks similar to y=log3x except that the variables are interchanged.

This occurs only in inverse of a function.

03

Step 3. Conclusion.

Hence, the functions y=3x and y=log3x are inverse functions of each other.

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