# Algebra II: Exponential and Logarithmic Functions Chapter Exam

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### Page 1

#### Question 1 1. What does the quotient property tells us to do?

#### Question 2 2. Which of the following is the graph of y = log (x - 2) + 1?

#### Question 3 3. Which of the following equations represents an exponential decay?

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

#### Question 5 5. What are the domain and range for the equation y = log(x) - 3?

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#### Question 6 6. A laptop loses 2/3 of its value each year. If you have a $600 laptop, how much is it worth after 15 years?

#### Question 7 7. What are the domain and range of the equation y = log(x + 5)?

#### Question 8 8. Which of the following is an exponential function?

####
Question 9
9.
If f(*x*) = *ab**x*, f(2) = 480 and f(5) = 30,720, then *a* = _____.

#### Question 10 10. Use the following information to answer the question.

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#### Question 11 11. Which pattern of numbers is exponential?

#### Question 12 12. Evaluate the logarithm below to 2 decimal places.

#### Question 13 13. Evaluate.

#### Question 14 14. You're saving up for a $16,000 car. If you put $6,000 in a bank account that gives you 12% interest each year, how many years, to 1 decimal place, will it take before you have enough money for the car?

#### Question 15 15. Evaluate.

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####
Question 16
16.
Which direction will the graph of this equation be shifted?

y = log (x + 2)

#### Question 17 17. Solve, to 2 decimal places, the exponential equation below for x:

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

#### Question 19 19. Solve the exponential equation below for x:

#### Question 20 20. Which of these equations correctly 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. So, since 90% of people still recognize her each year, how many people still know who Brittney is each year?

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#### Question 21 21. Evaluate the logarithm below:

#### Question 22 22. Solve the exponential equation below for x:

#### Question 23 23. Evaluate the logarithm below:

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

#### Question 25 25. To exponentiate both sides of an equation is to _____

### Page 6

#### Question 26 26. Solve the exponential equation below for x:

#### Question 27 27. Which expression is equivalent to log having base = e?

#### Question 28 28. Evaluate.

#### Question 29 29. 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 30 30. Condense the logarithm below:

#### Algebra II: Exponential and Logarithmic Functions Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "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. Good luck!