# Logarithms and Exponential Equations Chapter Exam

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Exam Progress:

### Page 1

#### Question 1 1. You have $5000 to invest. A stock currently has a dividend which pays a return of 4% per year. Approximately how long will it take you to double your money from just the dividend?

#### Question 2 2. To exponentiate both sides of an equation is to _____

#### Question 3 3. Which of the following is an exponential function?

#### Question 4 4. Which equation represents a pattern that starts at 6 and is multiplied by 4 each step?

#### Question 5 5. Solve the exponential equation below for x:

### Page 2

#### Question 6 6. Evaluate.

#### Question 7 7. Evaluate the logarithm below to 2 decimal places.

#### Question 8 8. Solve the logarithmic equation for x

#### Question 9 9. Solve the exponential equation below for x:

#### Question 10 10. Which pattern of numbers is exponential?

### Page 3

#### Question 11 11. Solve the logarithmic equation for x

#### Question 12 12. Evaluate

#### Question 13 13. Evaluate.

#### Question 14 14. The rate of depreciation on a car is 10% per year. The car was purchased for $15,000. After 5 years, what is its approximate value?

#### Question 15 15. Which expression is equivalent to log having base = e?

### Page 4

#### Question 16 16. Condense the logarithm below:

#### Question 17 17. Solve the exponential equation below for x:

#### Question 18 18. Expand the logarithm expression:

#### Question 19 19. Evaluate the logarithm below:

#### Question 20 20. If f(x) = ab^x, f(2) = 480 and f(5) = 30,720, then a = _____.

### Page 5

#### Question 21 21. Use a calculator to evaluate

#### Question 22 22. Expand the logarithm:

#### Question 23 23. Which of these equations represents the following scenario: In her prime, 40 million people knew who Britney Spears was, but that number has been decreasing by 10% each year.

#### Question 24 24. Which logarithmic property is shown below?

#### Question 25 25. Solve the exponential equation for x

### Page 6

#### Question 26 26. A colony of bacteria starts with 9 bacteria at noon. If the number of bacteria triples every 20 minutes, how many bacteria will be present at 2:40 pm that afternoon?

#### Question 27 27. Which of the following equations represents an exponential decay?

#### Question 28 28. Evaluate the logarithm below:

#### Question 29 29. Solve the logarithmic equation for x

#### Question 30 30. Solve the exponential equation for x

#### Logarithms and Exponential Equations Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next question. You can skip questions if you would like and come back to them later with the "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. You will lose your work if you close or refresh this page. Good luck!