# Exponentials and Logarithms in Math: Tutoring Solution 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. Evaluate the following.

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

#### Question 3 3. Expand the following logarithm:

#### Question 4 4. Which of the following is an exponential function?

#### Question 5 5. What does the quotient property of logarithms tell us to do?

### Page 2

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

#### Question 7 7. 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 8 8. Evaluate the following.

####
Question 9
9.
Solve the following equation for *x*.

#### Question 10 10. Solve the exponential equation below for x:

### Page 3

#### Question 11 11. 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 12 12. 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 13 13. Condense the logarithm below:

#### Question 14 14. Solve the exponential equation below for x:

#### Question 15 15. Which of the following equations represents an exponential decay?

### Page 4

#### Question 16 16. Solve the exponential equation below for x:

#### Question 17 17. Evaluate the following.

#### Question 18 18. 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 19 19. Which logarithmic property is shown below?

#### Question 20 20. Which expression is equivalent to log having base = e?

### Page 5

####
Question 21
21.
If f(*x*) = *ab**x*, f(2) = 480 and f(5) = 30,720, then *a* = _____.

#### Question 22 22. Use the following information to answer the question.

#### Question 23 23. Evaluate the logarithm below to 2 decimal places.

#### Question 24 24. Evaluate the logarithm below:

#### Question 25 25. Evaluate the logarithm below:

### Page 6

#### Question 26 26. Which pattern of numbers is exponential?

#### Exponentials and Logarithms in Math: Tutoring Solution 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!