# Exponentials and Logarithms Chapter Exam

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### Page 1

#### Question 1 1. Which of the following is equal to: log(x^3) ?

#### Question 2 2. Expand the logarithm:

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

#### Question 4 4. Logarithms _____ exponential expressions.

#### Question 5 5. What does the quotient property tells us to do?

### Page 2

#### Question 6 6. Logarithmic properties are similar to the _____ property of multiplication.

####
Question 7
7.
Evaluate:

2^5

#### Question 8 8. Expand: log(xyz)

#### Question 9 9. When the log (of the same base) is the outermost step on both sides of the equation, the logs _____.

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

### Page 3

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

####
Question 13
13.
Evaluate:

log 10,000

#### Question 14 14. Choose the FALSE statement

#### Question 15 15. 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?

### Page 4

#### Question 16 16. According to the product property, you can use ______ to combine two logarithms that are separated by addition.

####
Question 17
17.
Solve for x:

8 = log (x + 1)

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

#### Question 19 19. Solve, to 2 decimal places, the exponential equation below for x:

#### Question 20 20. Which of the following is NOT an example of exponential growth?

### Page 5

####
Question 21
21.
Solve for x:

25 = 10^x

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

####
Question 23
23.
If f(*x*) = *ab**x*, f(2) = 480 and f(5) = 30,720, then *a* = _____.

#### Question 24 24. log 0 = ?

####
Question 25
25.
Solve for x:

7 = 10^x

### Page 6

#### Question 26 26. Which part of the logarithmic expression shown is the base?

#### Question 27 27. Which logarithmic property is shown below?

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

#### Question 29 29. The inverse operation of a log is a(an) _____.

#### Question 30 30. Mark is working on a math problem where he needs to turn multiplication on the inside into addition on the outside. Mark is applying the _____ property.

#### Exponentials and Logarithms 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!