#### Module 4 – Exponential and Logarithmic Functions

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

#### Introduction

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.