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Review for the Dual-Credit Pre-Calculus Test on Logarithmic and Exponential Functions

Review for the Dual-Credit Pre-Calculus Test on Logarithmic and Exponential Functions. 1 . Evaluate the expression. 2. Evaluate the expression . 3. Simplify so that the result does not contain logarithms of products, quotients or powers.

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Review for the Dual-Credit Pre-Calculus Test on Logarithmic and Exponential Functions

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  1. Review for the Dual-Credit Pre-Calculus Test on Logarithmic and Exponential Functions

  2. 1. Evaluate the expression

  3. 2. Evaluate the expression

  4. 3. Simplify so that the result does not contain logarithms of products, quotients or powers.

  5. Rewrite as a single Logarithm.

  6. 5. Solve for x:

  7. 6. Solve for x:

  8. 7. Be sure you can match equations to graphs, as found in sections 4.1 and 4.2

  9. Solve for x:

  10. 9. Solve for x:

  11. 10. Evaluate:

  12. 11. Evaluate:

  13. Use the change of base rule to evaluate to the nearest thousandth:

  14. 13. Determine the value of an investment in the amount of $4,500 that matures in 4 years and pays 5.8% per year compounded monthly.

  15. 14. A culture of bacteria starts with 2,000 bacteria and the population doubles every three hours. When will the population reach 18,000?

  16. 15. A lighthouse foghorn emits a sound rated at watts per square centimeter. Calculate the decibels of the foghorn. Use the equation

  17. 16. A certain radioactive substance has a half-life of four years. How much of a 200-gram sample will remain after 15 years?

  18. 17. A certain alkaline solution has a hydrogen ion concentration of ions per mole of solution. Calculate the pH of this solution. Use the equation

  19. 18. The parents of a 3-year-old child put $16,000 into an account with the hope that the amount will grow to $70,000 when the child starts college in 15 years. What rate of continuously compounded interest is necessary for this goal to be met?

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