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# Exponentials & Logarithms: College Algebra Lesson Plans Chapter Exam

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 "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 logarithm below:

#### Question 2 2. Evaluate the logarithm below:

#### Question 3 3. Evaluate the following.

#### Question 4 4. Solve the exponential equation below for x:

#### Question 5 5. Which equation represents a pattern that starts at 6 and is multiplied by 4 each step?

### Page 2

#### Question 6 6. Which pattern of numbers is exponential?

#### Question 7 7. Expand the following logarithm:

#### Question 8 8. Which of the following equations represents an exponential decay?

#### Question 9 9. Which logarithmic property is shown below?

#### Question 10 10. Solve, to 2 decimal places, the exponential equation below for x:

### Page 3

####
Question 11
11.
If f(*x*) = *ab**x*, f(2) = 480 and f(5) = 30,720, then *a* = _____.

#### Question 12 12. Solve the exponential equation below for x:

#### Question 13 13. Which expression is equivalent to log having base = e?

#### Question 14 14. Which of the following is an exponential function?

#### Question 15 15. Evaluate the logarithm below to 2 decimal places.

### Page 4

#### Question 16 16. 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 17 17. Evaluate the following.

####
Question 18
18.
Solve the following equation for *x*: 2 +2ln(*x*) = ln(*x*) + ln(2).

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

#### Question 20 20. Condense the logarithm below:

### Page 5

#### Question 21 21. 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 22 22. 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 23 23. Evaluate the following.

#### Question 24 24. 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 25 25. What does the quotient property of logarithms tell us to do?

### Page 6

#### Question 26 26. Use the following information to answer the question.

#### Exponentials & Logarithms: College Algebra Lesson Plans 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 "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!

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