# GACE Math: Exponential & Logarithmic Functions Chapter Exam

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!

### Page 1

#### Question 1 1. In the compound interest formula, what does the n stand for?

#### Question 2 2. What is the standard base for logarithms?

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

#### Question 4 4. Which pattern of numbers is exponential?

#### Question 5 5. Evaluate the logarithm below to 2 decimal places.

### Page 2

#### Question 6 6. Which of the following is the graph of y = log (x - 2) + 1?

#### Question 7 7. Use the following information to answer the question.

#### Question 8 8. Solve, to 2 decimal places, the exponential equation below for x:

#### Question 9 9. What does the quotient property of logarithms tell us to do?

#### Question 10 10. What kind of shift happens with this function?

### Page 3

#### Question 11 11. Every year a laptop is worth 1/3 of what it was worth for each year previous. If you have a $600 laptop, how much is it worth after 15 years?

#### Question 12 12. Evaluate the following.

#### Question 13 13. 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 Britney is each year?

#### Question 14 14. Evaluate.

#### Question 15 15. Which equation represents this graph?

### Page 4

#### Question 16 16. What transformation happens with this function?

#### Question 17 17. Evaluate: log (1000).

#### Question 18 18. Solve the exponential equation below for x:

#### Question 19 19. Evaluate to 2 decimal places.

####
Question 20
20.
Which direction will the graph of this equation be shifted?

y = log (x + 2)

### Page 5

#### Question 21 21. Which expression is equivalent to log having base = e?

#### Question 22 22. Which of the following is the correct formula for compound interest?

#### Question 23 23. Evaluate the following.

#### Question 24 24. 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 25 25. Sam deposits $5,000 into an account with an interest rate of 3% that is compounded monthly. Rounding to the nearest dollar, what is the balance after 10 years?

### Page 6

#### Question 26 26. What are the domain and range for the equation y = log(x) - 3?

#### Question 27 27. What transformation happens to this function?

#### Question 28 28. Which of the following equations represents an exponential decay?

#### Question 29 29. Solve the exponential equation below for x:

#### Question 30 30. Which equation represents a pattern that starts at 6 and is multiplied by 4 each step?

#### GACE Math: Exponential & 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!