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Solving exponential and logarithmic equations

This text explores solving exponential and logarithmic equations with practical applications. It includes a problem about a $500 deposit in a continuously compounded account at 6.75% interest and determines how long it will take for the investment to double. Additionally, the average salary in a specific field from 1980 to 2000 is analyzed using a model, identifying when it first reached $40,000. Finally, an example problem calculating the annual interest rate for a $500 investment over 10 years is also presented.

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Solving exponential and logarithmic equations

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  1. Solving exponential and logarithmic equations 3-4

  2. Extraneous solutions • Solve:

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

  4. Average salary • In a specific field the average salary from 1980 to 2000 can be modeled by the equation where 10<t<30 and t = 10 represents 1980. What year did the average salary reach $40,000?

  5. Example • If I invest $500 in an account which compounds continuously, and after 10 years I have $1385.25, what is the annual rate?

  6. Homework • Pg 213 #111, 112, 113, • Pg 224 #7 - 14

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