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# FTCE Math: Exponential & Logarithmic Equations Chapter Exam

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. Solve the exponential equation below for x:

#### Question 2 2. Evaluate the following.

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

#### Question 4 4. What transformation happens to this function?

####
Question 5
5.
Solve the following equation for *x*: 2 +2ln(*x*) = ln(*x*) + ln(2).

### Page 2

#### Question 6 6. 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 7 7. 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 8 8. What transformation happens to this function?

#### Question 9 9. Evaluate.

#### Question 10 10. Which of the following equations represents an exponential decay?

### Page 3

#### Question 11 11. What does the quotient property of logarithms tell us to do?

#### Question 12 12. Evaluate to 2 decimal places.

#### Question 13 13. Every year a laptop is worth 1/3 of what it was worth for each year previous. If you have a $600 laptop, how much is it worth after 15 years?

#### Question 14 14. In an exponential function, the exponent is which one of the following?

#### Question 15 15. Solve, to 2 decimal places, the exponential equation below for x:

### Page 4

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

#### Question 17 17. A value that a function will get infinitely close to, but never reach is called which one of the following?

####
Question 18
18.
Which direction will the graph of this equation be shifted?

y = log (x + 2)

#### Question 19 19. Which of the following is an exponential function?

#### Question 20 20. Which of the following is the graph of y = log (x - 2) + 1?

### Page 5

#### Question 21 21. Which equation represents this graph?

#### Question 22 22. Which equation represents a pattern that starts at 6 and is multiplied by 4 each step?

#### Question 23 23. What are the domain and range for the equation y = log(x) - 3?

#### Question 24 24. Use the following information to answer the question.

#### Question 25 25. What is another base for logarithms (other than 10) that has a corresponding calculator key?

### Page 6

#### Question 26 26. A logarithm is defined as which one of the following?

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

#### Question 28 28. Which part of the logarithmic expression shown is the base?

#### Question 29 29. What transformation happens to this function?

#### Question 30 30. Evaluate: log (1000).

#### FTCE Math: Exponential & 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!