Exponential & Logarithmic Functions in Trigonometry: 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. Which expression is equivalent to log having base = e?

Question 2 2. Evaluate.

Question 3 3. What is the standard base for logarithms?

Question 4 4. What does the quotient property tells us to do?

Question 5 5. Which pattern of numbers is exponential?

Page 2

Question 6 6. Evaluate the logarithm below:

Question 7 7. 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 8 8. What transformation happens to this function?

Question 9 9. Use the following information to answer the question.

Question 10 10. What is the inverse function?

Page 3

Question 11 11. Which of the following produces a flip over the y-axis?

Question 12 12. Simplify the following expression.

Question 13 13. Rewrite the following in its inverse form.

Question 14 14. What transformation happens to this function?

Question 15 15. If the population of a city grows 25% in 3 years, what is the yearly growth rate?

Page 4

Question 16 16. What kind of shift or flip does y = - log (x) produce?

Question 17 17. 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 18 18. What transformation happens to this function?

Question 19 19. What kind of shift happens with this function?

Question 20 20. Which of the following is an approximation of e?

Page 5

Question 21 21. Which of the following equations represents an exponential decay?

Question 22 22. 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 23 23. Solve the following equation for y = f(x).

Question 24 24. Simplify:

Question 25 25. Which equation represents a pattern that starts at 6 and is multiplied by 4 each step?

Page 6

Question 26 26. Given a population growth of 3%, how long will it take for the population to grow from 100 to 150?

Question 27 27. The asymptote of the natural log function is _____.

Question 28 28. Evaluate.

Question 29 29. What does this equal?

Question 30 30. Evaluate.

Exponential & Logarithmic Functions in Trigonometry: 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!

High School Trigonometry: Help and Review  /  Math Courses
Support