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Exponentials and Logarithms in Math: Help and Review 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. 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 2 2. Use the following information to answer the question.

Question 3 3. Solve the exponential equation below for x:

Question 4 4. Which expression is equivalent to log having base = e?

Question 5 5. Evaluate the logarithm below:

Page 2

Question 6 6. 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 7 7. Evaluate the following.

Question 8 8. 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 9 9. Evaluate the logarithm below to 2 decimal places.

Question 10 10. Which equation represents a pattern that starts at 6 and is multiplied by 4 each step?

Page 3

Question 11 11. Solve, to 2 decimal places, the exponential equation below for x:

Question 12 12. Which of the following is an exponential function?

Question 13 13. Condense the logarithm below:

Question 14 14. Evaluate the logarithm below:

Question 15 15. Solve the exponential equation below for x:

Page 4

Question 16 16. Which logarithmic property is shown below?

Question 17 17. What does the quotient property of logarithms tell us to do?

Question 18 18. If f(x) = abx, f(2) = 480 and f(5) = 30,720, then a = _____.

Question 19 19. Solve the following equation for x: 2 +2ln(x) = ln(x) + ln(2).

Question 20 20. 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 5

Question 21 21. Expand the following logarithm:

Question 22 22. Solve the exponential equation below for x:

Question 23 23. Which of the following equations represents an exponential decay?

Question 24 24. Evaluate the following.

Question 25 25. Evaluate the following.

Page 6

Question 26 26. Which pattern of numbers is exponential?

Exponentials and Logarithms in Math: Help and Review 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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