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Exponential & Logarithmic Functions in Trigonometry: Tutoring Solution 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!

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Question 1 1. Every year a laptop is worth 1/3 of what it was worth each year previous. If you have a $600 laptop, how much is it worth after 15 years?

Question 2 2. To exponentiate both sides of an equation is to _____

Question 3 3. What is the inverse function of f(x) = log (x+2)?

Question 4 4. y = log (x) - 3 produces what kind of shift or lift?

Question 5 5. Simplify: ln(a*4*e/b).

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Question 6 6. Solve the exponential equation below for x:

Question 7 7. Which equation represents a pattern that starts at 6 and is multiplied by 4 each step?

Question 8 8. Which expression is equivalent to log having base = e?

Question 9 9. 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 10 10. Evaluate the logarithm below:

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Question 11 11. Condense the logarithm below:

Question 12 12. Which of the following is an approximation of e?

Question 13 13. Which of the following equations represents an exponential decay?

Question 14 14. What kind of shift happens with this function?

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

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Question 16 16. 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 17 17. Evaluate.

Question 18 18. Evaluate.

Question 19 19. Rewrite the following in its inverse form.

Question 20 20. What kind of number is e?

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Question 21 21. What is the standard base for logarithms?

Question 22 22. What transformation happens with this function?

Question 23 23. Which pattern of numbers is exponential?

Question 24 24. Which logarithmic property is shown below?

Question 25 25. Solve, to 2 decimal places, the exponential equation below for x:

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Question 26 26. Simplify the following expression.

Question 27 27. Evaluate to 2 decimal places.

Question 28 28. Solve the differential equation for your bank balance given as follows.

Question 29 29. 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?

Question 30 30. The following differential equation represents the change in population as a function of time. What does the 0.03 represent in this equation?

Exponential & Logarithmic Functions in Trigonometry: Tutoring Solution 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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