Module 4 – Exponential and Logarithmic Functions

Section 4.5 – Change of Base and More Exponential and Logarithmic Equations and Inequalities


In previous sections you have learned how to solve some exponential and logarithmic equations. This is not surprising as logarithms are defined as solutions to exponential equations! You have also acquired some skills in simplifying and rearranging expressions involving powers and logarithms. In this section you will extend these skills so as to be able to solve more complicated equations that may arise in some of the applications we’ve seen, and/or in other applications that you may come across in future.

What to do

1.         Read section 4.6 of the text. Keep a pencil and paper at hand, and be sure to check your understanding by trying the examples before reading how to do them.
2.         Read the following Study Notes and Discussion, and make sure that you have absorbed the main points by answering the questions.
3.         Follow the instructions regarding Practice Exercises until you have achieved the Learning Objectives for this section.
4.         Review the overall objectives for this entire module and check that you have understood and achieved all of them.

Go To:    Sec 4.0    Sec 4.1    Sec 4.2    Sec 4.3    Sec 4.4    Sec 4.5    Lab