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3.4 Exponential and Logarithmic Equations

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 2. 3. 4. 5.

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3.4 Exponential and Logarithmic Equations

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  1. 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.

  2. Properties of Logarithms 1. If then 2. 3. 4. 5.

  3. Example 1 a. b.

  4. Example 2

  5. Example 3

  6. Example 4 a. b.

  7. Example 5

  8. Example 6

  9. Example 7: Check for Extraneous Solutions

  10. Example 8 Approximate to three decimal places the solution of

  11. 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?

  12. 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 1980. During which year did the average salary for public school teachers reach $40,000?

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