# Solving Exponential & Logarithmic Functions Chapter Exam

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#### Question 1 1. Which logarithmic property is shown below?

#### Question 2 2. Condense the logarithm below:

#### Question 3 3. Evaluate the logarithm below:

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Question 4
4.
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 5 5. When the log (of the same base) is the outermost step on both sides of the equation, the logs _____.

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#### Question 6 6. To exponentiate both sides of an equation is to _____

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Question 7
7.
Solve.
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*x* + 9 = 11

*x*+ 9 = 11#### Question 8 8. For which of the following problems will you use the natural log to help you solve it?

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Question 9
9.
Solve this problem.
- 10
*x - 3* = 10

*x - 3*= 10#### Question 10 10. A laptop loses 2/3 of its value each year. If you have a $600 laptop, how much is it worth after 15 years?

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#### Question 11 11. A value that a function will get infinitely close to, but never reach is called an _____.

#### Question 12 12. How does exponential growth differ from exponential decay?

#### Question 13 13. Evaluate.

#### Question 14 14. Evaluate the logarithm below to 2 decimal places.

#### Question 15 15. Evaluate.

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#### Question 16 16. Which property of logarithms is being applied in this image?

#### Question 17 17. What does the quotient property tells us to do?

#### Question 18 18. Logarithmic properties make logarithms easier to work with because they allow us to _____ logarithms.

#### Question 19 19. 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 20 20. In an exponential function, the exponent is a(n) _____.

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#### Question 21 21. Which equation represents a pattern that starts at 6 and is multiplied by 4 each step?

#### Question 22 22. Use the following information to answer the question.

#### Question 23 23. Which part of the logarithmic expression shown is the base?

#### Question 24 24. A logarithm is defined as _____.

#### Question 25 25. Which equation represents this graph?

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####
Question 26
26.
Which direction will the graph of this equation be shifted?

y = log (x + 2)

#### Question 27 27. Which of the following is the graph of y = log (x - 2) + 1?

#### Question 28 28. Evaluate the logarithm below:

#### Question 29 29. The inverse operation of a log is a(an) _____.

####
Question 30
30.
Solve.
- 102
*x* - 2 (10*x*) + 1 = 0

*x*- 2 (10*x*) + 1 = 0#### Solving Exponential & Logarithmic Functions 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!