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Chapter 8 – Exponential and Logarithmic Functions Answer Key
8.1 Exponential Growth Function
Answers
1.ans080101
(0, 1), , ,
2.ans080102
(0, 1), , ,
CK12 Algebra II with Trigonometry Concepts 1
Chapter 8 – Exponential and Logarithmic Functions Answer Key
CK12 Algebra II with Trigonometry Concepts 2
Chapter 8 – Exponential and Logarithmic Functions Answer Key
3.ans080103
(0, 1), , ,
4.ans080104
(0, 2), , ,
CK12 Algebra II with Trigonometry Concepts 3
Chapter 8 – Exponential and Logarithmic Functions Answer Key
5.ans080105
(0, 216), , ,
6.ans080106
(0, 2.75), , ,
CK12 Algebra II with Trigonometry Concepts 4
Chapter 8 – Exponential and Logarithmic Functions Answer Key
7.ans080107
(0, 343), , ,
8.ans080108
(0, 1.99), , ,
CK12 Algebra II with Trigonometry Concepts 5
Chapter 8 – Exponential and Logarithmic Functions Answer Key
CK12 Algebra II with Trigonometry Concepts 6
Chapter 8 – Exponential and Logarithmic Functions Answer Key
9.ans080109
(0, 1), , ,
10.(0, 1); any number to the zero power is always 1, .
11.
12.63 games
13.67 games
14.$16,289
15.$26,533
CK12 Algebra II with Trigonometry Concepts 7
Chapter 8 – Exponential and Logarithmic Functions Answer Key
8.2 Exponential Decay Function
Answers
1. neither
2.exponential growth
3.exponential growth
4.exponential decay
5.exponential growth
6. neither
7.exponential decay (barely!)
8.ans080110
(0, 1), , ,
CK12 Algebra II with Trigonometry Concepts 8
Chapter 8 – Exponential and Logarithmic Functions Answer Key
9.ans080111
(0,0.64), , ,
10.ans080112
(0, 1), , ,
CK12 Algebra II with Trigonometry Concepts 9
Chapter 8 – Exponential and Logarithmic Functions Answer Key
CK12 Algebra II with Trigonometry Concepts 10
Chapter 8 – Exponential and Logarithmic Functions Answer Key
11.ans080113
(0, 2), , ,
12.ans080114
(0, 1.45), , ,
CK12 Algebra II with Trigonometry Concepts 11
Chapter 8 – Exponential and Logarithmic Functions Answer Key
CK12 Algebra II with Trigonometry Concepts 12
Chapter 8 – Exponential and Logarithmic Functions Answer Key
13.ans080115
(0, 5.78), , ,
14.Answers will vary.
15. a.
b. $29.52
c. 7 weeks
CK12 Algebra II with Trigonometry Concepts 13
Chapter 8 – Exponential and Logarithmic Functions Answer Key
8.3 Using Exponential Growth and Decay Models
Answers
1. $61,600
2. $8,089
3.Yes, week 15 is 20.9 mi
4. $31,200
5. $143,000
6. $377,000
7.168,156 children
8. 15 years
9. $17,890
10.$10,759
11.$40,870
12.$16,405
13.$18,500
14. $7800
15. 7%
CK12 Algebra II with Trigonometry Concepts 14
Chapter 8 – Exponential and Logarithmic Functions Answer Key
8.4 The Number e
Answers
1.growth,
2.decay, and
3.decay,
4.decay, and
5.
6.
7.
8.
9. 173,325
10. 2025
11.$19,666
12. $7530
13.
14. $171
15.$10,750
CK12 Algebra II with Trigonometry Concepts 15
Chapter 8 – Exponential and Logarithmic Functions Answer Key
8.5 Defining Logarithms
Answers
1.
2.
3.
4.
5.
6.
7. 2
8. 3
9. 1
10. 6
11. 1.857
12. 2.079
13. 3.585
14. 2
15. 1.445
CK12 Algebra II with Trigonometry Concepts 16
Chapter 8 – Exponential and Logarithmic Functions Answer Key
CK12 Algebra II with Trigonometry Concepts 17
Chapter 8 – Exponential and Logarithmic Functions Answer Key
8.6 Inverse Properties of Logarithmic Functions
Answers
1. 3x
2. x
3. 5x
4. x + 3
5. 2x – 2
6. 3x
7. x – 7
8. 6x
9. 5x – 3
10.
11.
12.
13.
14.
15.
CK12 Algebra II with Trigonometry Concepts 18
Chapter 8 – Exponential and Logarithmic Functions Answer Key
8.7 Graphing Logarithmic Function
Answers
1.ans080201
; D: ; R:
2.ans080202
; D: ; R:
CK12 Algebra II with Trigonometry Concepts 19
Chapter 8 – Exponential and Logarithmic Functions Answer Key
CK12 Algebra II with Trigonometry Concepts 20
Chapter 8 – Exponential and Logarithmic Functions Answer Key
3.ans080203
; D: ; R:
4.ans080204
CK12 Algebra II with Trigonometry Concepts 21
Chapter 8 – Exponential and Logarithmic Functions Answer Key
; D: ; R:
CK12 Algebra II with Trigonometry Concepts 22
Chapter 8 – Exponential and Logarithmic Functions Answer Key
5.ans080205
; D: ; R:
6.ans080206b
; D: ; R:
CK12 Algebra II with Trigonometry Concepts 23
Chapter 8 – Exponential and Logarithmic Functions Answer Key
CK12 Algebra II with Trigonometry Concepts 24
Chapter 8 – Exponential and Logarithmic Functions Answer Key
7.ans080207b
8.ans080208b
CK12 Algebra II with Trigonometry Concepts 25
Chapter 8 – Exponential and Logarithmic Functions Answer Key
CK12 Algebra II with Trigonometry Concepts 26
Chapter 8 – Exponential and Logarithmic Functions Answer Key
9.ans080209b
10.ans080210
CK12 Algebra II with Trigonometry Concepts 27
Chapter 8 – Exponential and Logarithmic Functions Answer Key
11. ans080211
12.ans080212
13. yes
14. no
15. yes
CK12 Algebra II with Trigonometry Concepts 28
Chapter 8 – Exponential and Logarithmic Functions Answer Key
8.8 Product and Quotient Properties of Logarithms
Answers
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14. Start with and and . Convert each into exponential form, divide and use the powers of exponents. Students must provide proof.
CK12 Algebra II with Trigonometry Concepts 29
Chapter 8 – Exponential and Logarithmic Functions Answer Key
8.9 Power Property of Logarithms
Answers
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14. or
CK12 Algebra II with Trigonometry Concepts 30
Chapter 8 – Exponential and Logarithmic Functions Answer Key
15.
CK12 Algebra II with Trigonometry Concepts 31
Chapter 8 – Exponential and Logarithmic Functions Answer Key
8.10 Solving Exponential Equations
Answers
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
CK12 Algebra II with Trigonometry Concepts 32
Chapter 8 – Exponential and Logarithmic Functions Answer Key
15.
CK12 Algebra II with Trigonometry Concepts 33
Chapter 8 – Exponential and Logarithmic Functions Answer Key
8.11 Solving Logarithmic Equations
Answers
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
CK12 Algebra II with Trigonometry Concepts 34