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# Logarithmic & Exponential Operations Chapter Exam

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### Page 1

#### Question 1 1. What kind of shift or flip does y = - log (x) produce?

#### Question 2 2. Which of the following produces a shift up?

#### Question 3 3. Simplify this expression so that all the exponents are positive.

#### Question 4 4. Simplify the following expression so that all the exponents are positive.

#### Question 5 5. Rewrite the following in its inverse form.

### Page 2

#### Question 6 6. What is the inverse function of f(x) = log (x+2)?

#### Question 7 7. 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 8 8. In exponential growth, _____, while in exponential decay, _____.

#### Question 9 9. Which property of logarithms is being applied in this image?

#### Question 10 10. What is this expression equal to?

### Page 3

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Question 11
11.
A log-log chart is created using base 10 logarithms for both axes. An *x* value of -1.5 corresponds to a *y* value of -2. What are the original numbers being represented by *x* and *y*?

####
Question 12
12.
Which of the following statements is **FALSE** concerning logarithmic scales?

#### Question 13 13. Evaluate the following.

#### Question 14 14. Evaluate the following.

#### Question 15 15. Which of the following is a true statement?

### Page 4

####
Question 16
16.
Evaluate the following:

log 10 2 + log 10 50

#### Question 17 17. A logarithm is defined as which one of the following?

#### Question 18 18. Which part of the logarithmic expression shown is the base?

#### Question 19 19. Which of the following would be true regarding the following exponential expression?

#### Question 20 20. Which of the following exponential expressions is equal to this radical expression?

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

####
Question 23
23.
Solve the following equation:

102*x* - 2 (10*x*) + 1 = 0

*x*- 2 (10

*x*) + 1 = 0

####
Question 24
24.
Solve the following equation:

10*x - 3* = 10

*x - 3*= 10

#### Question 25 25. What kind of shift or flip does y = log (x - 4) produce?

### Page 6

#### Question 26 26. Simplify the expression:

#### Question 27 27. What does this equal?

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

#### Question 29 29. Which property does this represent?

#### Question 30 30. What is the definition of a logarithmic scale AND what is the difference between a semi-log chart and a log-log chart?

#### Logarithmic & Exponential Operations 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!