# Logarithms and Exponential Equations Chapter Exam

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Exam Progress:

### Page 1

#### Question 1 1. Which of the following has no solution?

#### Question 2 2. Evaluate.

#### Question 3 3. Which of these equations 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.

#### Question 4 4. Solve the exponential equation below for x:

#### Question 5 5. Evaluate the logarithm below:

### Page 2

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

#### Question 7 7. 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 8 8. Evaluate.

#### Question 9 9. Which pattern of numbers is exponential?

#### Question 10 10. Mark is working on a math problem where he needs to turn multiplication on the inside into addition on the outside. Mark is applying the _____ property.

### Page 3

#### Question 11 11. Evaluate the logarithm below to 2 decimal places.

#### Question 12 12. Which property of logarithms is being applied in this image?

#### Question 13 13. In an exponential function, the exponent is a(n) _____.

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

#### Question 15 15. What does the quotient property tells us to do?

### Page 4

#### Question 16 16. Evaluate.

#### Question 17 17. Use the following information to answer the question.

#### Question 18 18. A value that a function will get infinitely close to, but never reach is called an _____.

#### Question 19 19. Which of the following logarithms is evaluated with -4?

#### Question 20 20. Solve for x:

### Page 5

#### Question 21 21. Wilson Incorporated sold a house for $20,000, which they bought 10 years ago and failed to make any improvements or renovate it. If the standard rate of depreciation of the house is 10% each year, how much did Willson Incorporate originally pay for the house?

#### Question 22 22. 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 23 23. Solve x:

#### Question 24 24. Which of the following is an exponential function?

#### Question 25 25. Logarithmic properties make logarithms easier to work with because they allow us to _____ logarithms.

### Page 6

#### Question 26 26. Which part of the logarithmic expression shown is the base?

#### Question 27 27. Solve for x:

#### Question 28 28. When the log (of the same base) is the outermost step on both sides of the equation, the logs _____.

#### Question 29 29. Which of the following expressions are equivalent to each other?

#### Question 30 30. The inverse operation of a log is a(an) _____.

#### Logarithms and Exponential Equations Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next question. You can skip questions if you would like and come back to them later with the "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. You will lose your work if you close or refresh this page. Good luck!