1. Lesson 3

Mathematics 30-2 Module 7

Module 7: Exponents and Logarithms

 

Lesson 3: Converting Between Logarithms and Exponents

 

Focus

 

This diagram shows a graph representing exponential growth.

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In Lesson 2 you explored exponential growth and decay. You may have noticed that exponential growth, such as in a population, can lead to very large numbers; and exponential decay, such as with a radioactive element, can lead to very small numbers.

 

In this lesson you will investigate logarithms and how they relate to exponents. Logarithms have many uses, one of which is to represent extreme values.

 

Lesson Outcomes

 

At the end of this lesson you will be able to

  • convert from logarithmic form to exponential form
  • convert from exponential form to logarithmic form
Lesson Question

 

You will investigate the following question: How are logarithms and exponents related?


Assessment


Your assessment may be based on a combination of the following tasks:

  • completion of the Lesson 3 Assignment (Download the Lesson 3 Assignment and save it in your course folder now.)
  • course folder submissions from Try This and Share activities
  • additions to Glossary Terms and Formula Sheet