Watch the Solving Exponential Equations video to see more examples.

Read pages 355-357 Example 2 in your textbook, Principles of Mathematics 12.

Complete Your Turn on page 357 (a) and page 362 (7b, 7e and 7f) for more practice solving exponential equations algebraically.

Click here to verify your answers.

Exponential functions can be used to model many real world phenomena such as bacterial growth and radioactive decay. Because radioactive materials decompose at a constant rate, the amount of radioactive material left at any given time can be represented by an exponential decay function. However, when bacteria reproduce, they split in two, doubling their population. This constant rate of increase in population is shown by an exponential growth function.