# TExES Physics/Math 7-12: Exponential & Logarithmic Functions Chapter Exam

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#### Question 1 1. Condense the logarithm below:

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

#### Question 3 3. Which of the following is the graph of y = log (x - 2) + 1?

#### Question 4 4. What are the domain and range of the equation y = log(x + 5)?

#### Question 5 5. Which expression is equivalent to log having base = e?

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

#### Question 7 7. 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 Brittney is each year?

#### Question 8 8. Which of the following equations represents an exponential decay?

#### Question 9 9. 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 10 10. Evaluate.

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#### Question 11 11. Which pattern of numbers is exponential?

#### Question 12 12. Expand the logarithm:

#### Question 13 13. Which equation represents a pattern that starts at 6 and is multiplied by 4 each step?

#### Question 14 14. Evaluate the logarithm below:

#### Question 15 15. Evaluate the logarithm below to 2 decimal places.

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#### Question 16 16. Evaluate.

#### Question 17 17. Evaluate.

#### Question 18 18. To exponentiate both sides of an equation is to _____

#### Question 19 19. A laptop loses 2/3 of its value each year. If you have a $600 laptop, how much is it worth after 15 years?

#### Question 20 20. Solve the exponential equation below for x:

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####
Question 21
21.
Which direction will the graph of this equation be shifted?

y = log (x + 2)

#### Question 22 22. 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 23 23. Use the following information to answer the question.

#### Question 24 24. Evaluate the logarithm below:

#### Question 25 25. Which of the following is an exponential function?

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#### Question 26 26. What does the quotient property tells us to do?

#### Question 27 27. Solve the exponential equation below for x:

#### Question 28 28. Which logarithmic property is shown below?

#### Question 29 29. Which equation represents this graph?

#### Question 30 30. Solve, to 2 decimal places, the exponential equation below for x:

#### TExES Physics/Math 7-12: 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!