3.4 Exponential and Logarithmic Equations Students will solve simple and more complicated exponential and logarithmic equations. Students will use exponential and logarithmic equations to model and solve real-life problems.

Properties of Logarithms 1. If then

Example 1 a.b.

Example 2

Example 3

Example 4 a.b.

Example 5

Example 6

Example 7: Check for Extraneous Solutions

Example 8 Approximate to three decimal places the solution of

Example 9 You have deposited $500 in an account that pays 6.75% interest, compounded continuously. How long will it take your money to double?

Example 10 For selected years from 1980 to 2000, the average salary y (in thousands of dollars) for public school teachers for the year t can be modeled by the equation where t = 10 represents During which year did the average salary for public school teachers reach $40,000?