# Evaluating Exponential and Logarithmic Functions Chapter Exam

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#### Question 1 1. The current elephant population in a certain area of Africa is 1,200. Because of some new anti-poaching laws, this elephant population is expected to increase by 7% per year. Write an exponential growth model that describes this situation.

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

#### Question 3 3. 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 4 4. Which expression is equivalent to log having base = e?

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

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#### Question 6 6. What is the domain and range of the following logarithmic function:

#### Question 7 7. Which of the following equations represents an exponential decay?

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Question 8
8.
Which direction will the graph of this equation be shifted?

y = log (x + 2)

#### Question 9 9. Evaluate the logarithm below:

#### Question 10 10. Which logarithmic property is shown below?

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#### Question 11 11. 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?

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Question 12
12.
Find *x*. Round your answer to the nearest thousandth.

#### Question 13 13. What does the quotient property tells us to do?

#### Question 14 14. Solve the exponential equation below for x:

#### Question 15 15. Solve the equation.

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#### Question 16 16. Which of the following is the graph of y = log (x - 2) + 1?

#### Question 17 17. Evaluate the following expression:

#### Question 18 18. Which function is shown in the graph?

#### Question 19 19. Solve the exponential equation below for x:

#### Question 20 20. Use the following information to answer the question.

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#### Question 21 21. Expand the following logarithm:

#### Question 22 22. 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?

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Question 23
23.
Condense the expression:

ln4 + 2ln*x* - ln*x* - 2ln8

*x*- ln

*x*- 2ln8

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

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Question 25
25.
You deposit $1000 in an account that pays 5% annual interest compounded continuously. This situation can be modeled by the formula *A* = *Pe*^(*rt*). How long will it take for the initial deposit to grow to $3000? Round your answer to the nearest hundredth.

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#### Question 26 26. What are the domain and range for the equation y = log(x) - 3?

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Question 27
27.
In each graph, the red curve represents the logarithmic function *y* = log*x*. Which graph includes the blue curve that represents the logarithmic function *y* = log(*x* + 3) + 2?

#### Question 28 28. Evaluate the following.

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

#### Question 30 30. Simplify the following expression. Round your answer to the nearest thousandth.

#### Evaluating Exponential and 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!