CHAPTER
Exponentials and Logarithms
Test Form A
Select the best answer.
1. Which function is an example of exponential growth?
A a(x) ’ 0.5(1.2)x
B b(x) ’ 2.4(0.86)x
2. If g(x) is the inverse of [pic], which of the following is on g(x)?
F (2, 3)
G (3, 2)
3. Which statement is NOT always true?
A The inverse of a linear function is a function.
B The inverse of a quadratic function is not a function.
C If a function has two x-intercepts, then its inverse has two y-intercepts.
4. Which is the logarithmic form of
210 ’ 1024?
F log2 10 ’ 1024
G log2 1024 ’ 10
5. Express 2log 4 + 3log 2 as a single logarithm.
A 6log 8 C log 128
B log 48
6. Which is the greatest?
F log2 328
G log3 2713
H log4 250
7. Solve 44x − 5 ’ 83x − 4.
A [pic]
B x ’ 2
8. Solve 32x ’ 30.
F [pic] H 2log3 30
G log3 15
9. Which is equal to eln 3 + ln e4?
A 7
B 12
10. If f(x) ’ a(r)x is an example of
exponential growth, what must be true
of r?
11. If g(x) is the inverse of f(x) ’ x2 − 3x + 5, find the point on g(x) that has a
y-coordinate of 3.
12. Give an example of a linear function whose inverse is NOT a function.
13. What is the logarithmic form of 63 ’ 216?
14. Express 2log 3 + 3log 2 − log 6 as a single logarithm.
Exponentials and Logarithms
Test Form A continued
15. Find x if x is an integer and
40 ( log4 64x ( 45.
16. Solve 211−4x ’ 84x + 1.
17. Solve 2x ’ 20. Express the answer as a calculator-ready expression.
18. Simplify 3eln x + 2ln [pic].
Exponentials and Logarithms
Answers continued
The Natural Base, e
PRACTICE A
1. a. 1; 0.37; 0.14; 0.05
b. [pic]
2. [pic]
3. [pic]
5. x ( 4 6. x
7. x3 8. (x ( 1)5
9. x ( 1 10. $8080.37
Problem Solving
1. 194
3. 5; 6; 7; 282; 309; 340; 373
4. C 5. H
Module 9 Quiz
1. B 2. H
3. B 4. F
5. A 6. G
7. A 8. G
9. C 10. G
11. C 12. H
13. C 14. G
15. C 16. G
17. C 18. 14
19. –1 20. [pic]
21. [pic] 22. 2
23. {2.6, 7} 24. 4 and 5
Unit 4 Test Form A
1. A
2. G
3. A
4. G
5. C
6. F
7. B
8. F
9. A
10. y ( 1
11. (5, 3)
12. y ( c, where c is any constant.
13. log6 216 ( 3
14. log12
15. x ( 14
16. x ( 0.5
17. [pic] or [pic]
18. 2x2 ( 3x
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