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Solving Exponential & Logarithmic Functions 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 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. What is this expression equal to?

Question 2 2. Which two log properties were used in this transformation?

Question 3 3. Which property of logarithms is being applied in this image?

Question 4 4. Evaluate the following.

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

Page 2

Question 6 6. Evaluate the following.

Question 7 7. Which of the following equations represents an exponential decay?

Question 8 8. 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 9 9. In exponential growth, _____, while in exponential decay, _____.

Question 10 10. A logarithm is defined as which one of the following?

Page 3

Question 11 11. Use the following information to answer the question.

Question 12 12. Which of the following expressions are equivalent to each other?

Question 13 13. Expand the following logarithm:

Question 14 14. Evaluate the logarithm below:

Question 15 15. Condense the logarithm below:

Page 4

Question 16 16.

Solve the following equation:

10x - 3 = 10

Question 17 17. For which of the following problems will you use the natural log to help you solve it?

Question 18 18.

Solve the following equation:

e2x = 40

Question 19 19. Solve for x in the equation log(3x) + log(5) = 1.

Question 20 20. The inverse operation of a log is a(an) _____.

Page 5

Question 21 21.

What is the diameter (D) of the lens (in mm) that is required by a telescope to see stars of magnitude (M) = 17?

Use the logarithmic equation M = 5 log D + 2 where M is magnitude and D is diameter.

Question 22 22. Which of the following represents the equation for an exponential function?

Question 23 23. In an exponential function, the exponent is which one of the following?

Question 24 24. Which of the following is an exponential function?

Question 25 25. Which of the following is the graph of y = log (x - 2) + 1?

Page 6

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

Question 27 27.

Which direction will the graph of this equation be shifted?

y = log (x + 2)

Question 28 28. Which property does this represent?

Question 29 29. Which expression is equivalent to log having base = e?

Question 30 30. 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?

Solving 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!

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