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Understanding Exponentials & Logarithms 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. When the log (of the same base) is the outermost step on both sides of the equation, the logs _____.

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

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

Question 4 4. Condense the logarithm below:

Question 5 5. Evaluate the logarithm below:

Page 2

Question 6 6. Expand the following logarithm:

Question 7 7. Which property of logarithms is being applied in this image?

Question 8 8. What does the quotient property of logarithms tell us to do?

Question 9 9. Which property does this represent?

Question 10 10. Evaluate the following.

Page 3

Question 11 11. Evaluate the following.

Question 12 12. Evaluate the logarithm below to 2 decimal places.

Question 13 13. Which of the following is an exponential function?

Question 14 14. Which equation represents a pattern that starts at 6 and is multiplied by 4 each step?

Question 15 15. Which of the following represents the equation for an exponential function?

Page 4

Question 16 16. What does x' equal in the following equation:

Question 17 17. Which of the following expressions are equivalent to each other?

Question 18 18. Use the following information to answer the question.

Question 19 19.

Solve the following equation:

e2x = 40

Question 20 20. For which of the following problems will you use the natural log to help you solve it?

Page 5

Question 21 21.

Solve the following equation:

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

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. 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 24 24. In exponential growth, _____, while in exponential decay, _____.

Question 25 25.

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.

Page 6

Question 26 26. Which logarithmic property is shown below?

Question 27 27. What is this expression equal to?

Question 28 28. Evaluate the following.

Question 29 29. In an exponential function, the exponent is which one of the following?

Question 30 30. A logarithm is defined as which one of the following?

Understanding Exponentials & 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!

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