# Exponential Functions & Logarithmic Functions: Homework Help Chapter Exam

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#### Question 1 1. Evaluate.

#### Question 2 2. What is the inverse function of f(x) = log (x+2)?

#### Question 3 3. What is another base for logarithms (other than 10) that has a corresponding calculator key?

#### Question 4 4. 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 5 5. Condense the logarithm below:

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#### Question 6 6. Solve the differential equation for your bank balance given as follows.

#### Question 7 7. Evaluate the logarithm below:

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

#### Question 9 9. The following differential equation represents the change in population as a function of time. What does the 0.03 represent in this equation?

#### Question 10 10. The asymptote of the natural log function is _____.

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Question 11
11.
What kind of number is *e*?

#### Question 12 12. Simplify the following expression.

#### Question 13 13. Simplify: ln(a*4*e/b).

#### Question 14 14. What kind of shift happens with this function?

#### Question 15 15. What does this equal?

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#### Question 16 16. Solve the following equation for y = f(x).

#### Question 17 17. y = log (x) - 3 produces what kind of shift or lift?

#### Question 18 18. Which of the following represents an equation for your bank balance as a function of time given a starting balance of $147 and an interest rate of 3%

#### Question 19 19. What transformation happens to this function?

####
Question 20
20.
Which of the following is an approximation of *e*?

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#### Question 21 21. Which of the following produces a shift up?

#### Question 22 22. What transformation happens with this function?

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Question 23
23.
*ln(e)* equals to _____.

#### Question 24 24. 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 25
25.
Solve the following equation for *x*.

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#### Question 26 26. What kind of shift or flip does y = - log (x) produce?

#### Question 27 27. 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 28 28. What is the standard base for logarithms?

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Question 29
29.
What is the inverse of *ln(x)*?

#### Question 30 30. Simplify:

#### Exponential Functions & Logarithmic Functions: Homework Help 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!