Name: Class: Date: A2 Chapter 7 review
Indicate the answer choice that best completes the statement or answers the question.
1. Solve a. 5
.
b. 6
c. 7
d. 8
2. FOOD PRICES At a wholesale food distribution center, the price of sugar has increased 6.3% annually since 1980.
Suppose sugar cost $0.43 per pound in 1980 and this growth continues. What will a pound of sugar cost in 2017? Use
y = a(1 + r)t and round to the nearest cent.
a. $4.12
b. $1.21
c. $0.42
d. $3.30
3. Solve 4 + 3e5x = 27.
a. 0.4074
b. 0.4394
c. 2.0369
4. Solve d. 0.1769
.
a. b. c. d. 5. Write the equation 54 = 625 in logarithmic form.
a. b. c. d. 6. Write the equation 43 = 64 in logarithmic form.
a. 7. If a. –1
b. c. , which could be a value for x?
b. 0
c. 2
d. 8. Solve 64x < 32x + 2.
a. {x | x > –10}
b. {x | x < –10}
9. Solve a. 8
d. c. {x | x > 10}
d. {x | x < 10}
x = –1.
b. –8
c. 0
d. 10. A total of $270 is to be divided among four children. Each will receive an amount that is proportional to his or her age.
If the children are 5, 10, 14, and 16 years old, how much money does the youngest child receive?
a. $96
b. $6
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c. $30
d. $54
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Name: Class: Date: A2 Chapter 7 review
11. Solve log2 2m > log2 (m + 5).
a. b. {x | m < 5}
c. {x | m > 5}
d. {x | m > –5}
12. Solve 92n = 404n – 7. Round to the nearest ten-thousandth.
a. 2.4922
b. 0.4012
c. –0.3560
d. 4.7209
= 216n + 5.
13. Solve a. 10
b. 3
c. –3
d. –10
14. Write the equation 43 = 64 in logarithmic form.
a. log4 3 = 64
b. log3 4 = 64
c. log64 4 = 3
15. Solve ex > 2.7.
a. {x | x < 0.9933}
b. {x | x > 0.9933}
d. log4 64 = 3
c. {x | x > 1.0668}
d. {x | x < 1.0668}
16. Which function represents exponential growth?
b. y = 4x4
a. y = 9
c. y = 12
d. y = 10(3)x
17. Suppose you deposit $1000 in an account paying 3% annual interest, compounded continuously. Use A = Pert to find
the balance after 10 years.
a. $20,085.54
b. $1300
c. $1349.86
d. $1068.65
18. Solve log6 10 + log6 x = log6 40.
a. 180
b. 4
c. 5
d. 30
Enter the appropriate word(s) to complete the statement.
asymptote
Change of Base Formula
common logarithm
compound interest
decay factor
exponential decay
exponential equation
exponential function
exponential growth
exponential inequality
growth factor
logarithm
logarithmic equation
logarithmic function
logarithmic inequality
natural base, e
natural base exponential function
natural logarithm
Choose from the terms above to complete each sentence.
19. A logarithm with base 10 is called a(n) ____________.
20. The equation y = 100(1 + 0.1)t is a model for ____________.
21. An exponential function with base e is called a(n) ____________.
22. 5x + 1 = 125 and 9x = 272x + 1 are examples of ____________.
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Name: Class: Date: A2 Chapter 7 review
23. Evaluate e4 ln x .
24. CHEMISTRY In 5 years, radioactivity reduces the mass of a 100-gram sample of an element to 75 grams. Find the
constant k for this element for t in years, then write the equation for modeling this exponential decay.
Use log5 2 0.4307 and log5 3 0.6826 to approximate the value of each expression.
25. log5 26. Solve 93x + 4 = 243x + 2.
27. Bonus Evaluate (log4 123)(log12 43).
Use log5 2 0.4307 and log5 3 0.6826 to approximate the value of each expression.
28. log5 18
29. Solve .
Use the following information.
The population of Suffolk County in Massachusetts decreased from 663,906 in 1990 to 641,695 in 1999.
30. Use your equation to predict the population of Suffolk County in 2020.
31. Evaluate log8 128.
Solve each equation or inequality. If necessary, round to the nearest ten-thousandth.
32. log2 (2x + 6) – log2 x = 3
33. Solve log4 0.25 + 3 log4 x = 5 log4 2 + log4 64.
34. Evaluate log6 68.
35. CHEMISTRY After 12 hours, half of a 16-gram sample of a radioactive element remains. Find the constant k for
this element for t hours, then write the equation for modeling its exponential decay.
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