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Exponential Functions & Logarithmic Equations 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. For which of the following problems will you use the natural log to help you solve it?

Question 2 2.

Solve the following equation:

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

Question 3 3.

Solve the following equation:

10x - 3 = 10

Question 4 4. What is the inverse function of f(x) = log (x+2)?

Question 5 5. Rewrite the following in its inverse form.

Page 2

Question 6 6. What does this equal?

Question 7 7. Which of the following expressions are equivalent to each other?

Question 8 8. Use the following information to answer the question.

Question 9 9. A logarithm is defined as which one of the following?

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

Page 3

Question 11 11. Which of the following represents the equation for an exponential function?

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

Question 13 13. What kind of shift or flip does y = - log (x) produce?

Question 14 14. y = log (x) - 3 produces what kind of shift or lift?

Question 15 15. Which of the following produces a flip over the y-axis?

Page 4

Question 16 16. Which expression is equivalent to log having base = e?

Question 17 17. Evaluate the following.

Question 18 18. Evaluate the following.

Question 19 19. If the population of a city grows 25% in 3 years, what is the yearly growth rate?

Question 20 20. Given a population growth of 3%, how long will it take for the population to grow from 100 to 150?

Page 5

Question 21 21. What is the formula for your bank balance given the following conditions:

Question 22 22. Evaluate to 2 decimal places.

Question 23 23. What is another base for logarithms (other than 10) that has a corresponding calculator key?

Question 24 24. Evaluate: log (1000).

Question 25 25. The asymptote of the natural log function is _____.

Page 6

Question 26 26. ln(e) equals to _____.

Question 27 27. What is the inverse of ln(x)?

Question 28 28. Solve the following equation for x: 2 +2ln(x) = ln(x) + ln(2).

Question 29 29.

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 30 30. When the log (of the same base) is the outermost step on both sides of the equation, the logs _____.

Exponential Functions & Logarithmic Equations 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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