Worksheet: Inverses of Exponential Functions

In this worksheet, we will practice dealing with the inverse of the exponential function, which is called the logarithm function.

Q1:

The function has an inverse of the form . What are the values of and ?

Q2:

Make the subject of the equation , assuming that .

Q3:

Consider the function , where is a positive real number not equal to 1. What is the domain of ?

Q4:

Rearrange the equation to find in terms of . Hence determine the inverse to the function .

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