Logaritma
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Logaritma
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96
Chapter 1. Exponents and Exponential Functions
Theory
Page 10
1. Exponents
Theory
Page 10
1A. Integer Exponents
Theory
Page 10
1B. Roots and Radical Expressions
Theory
Page 11
1C. Rational Exponents
Theory
Page 13
1D. Real Exponents
Theory
Page 15
Exercises 1.1
Problem
Page 17
The Number e
Theory
Page 18
2. Exponential Functions
Theory
Page 19
2A. Basic Concept
Theory
Page 19
2B. Graphs of Exponential Functions
Theory
Page 20
2C. Properties of Exponential Functions
Theory
Page 21
Exercises 1.2
Problem
Page 25
3. Simple Variations of Exponential Functions (Optional)
Theory
Page 26
Exercises 1.3
Problem
Page 33
4. Applications of Exponential Functions
Theory
Page 34
4A. Exponential Growth
Theory
Page 34
4B. Exponential Decay
Theory
Page 37
4C. Compound Interest
Theory
Page 38
Exercises 1.4
Problem
Page 40
Chapter Summary
Theory
Page 41
Concept Check
Test
Page 42
Chapter Review Test 1A
Test
Page 43
Chapter Review Test 1B
Test
Page 45
Chapter 2. Logarithms and Logarithmic Functions
Theory
Page 48
2.1. Logarithms
Theory
Page 48
2.1A. Basic Concept
Theory
Page 48
2.1B. Types of Logarithm
Theory
Page 52
2.1B1. Common Logarithms
Theory
Page 52
2.1B2. Natural Logarithms
Theory
Page 52
2.1C. Properties of Logarithms
Theory
Page 52
2.1C1. Changing the Base of a Logarithm
Theory
Page 56
Exercises 2.1
Problem
Page 62
2.1D. Using a Table of Logarithms
Theory
Page 63
2.1D1. Parts of Logarithm
Theory
Page 63
2.1D2. Using a Table of Logarithms
Theory
Page 64
Table of Logarithms
Theory
Page 66
2.2. Logarithmic Functions
Theory
Page 67
2.2A. Basic Concept
Theory
Page 67
2.2B. Graphs of Logarithmic Functions
Theory
Page 68
2.2C. Properties of Logarithmic Functions
Theory
Page 70
2.2C1. Sign of a Logarithmic Function
Theory
Page 71
2.2C2. Inverse of a Logarithmic Function
Theory
Page 73
2.2C3. Monotone Property of Logarithmic Functions
Theory
Page 75
Exercises 2.2
Problem
Page 79
Logarithmic Spirals
Theory
Page 80
2.3. Simple Variations of Logarithmic Functions (Optional)
Theory
Page 81
2.4. Applications of Logarithmic Functions
Theory
Page 88
2.4A. The Richter Scale
Theory
Page 88
2.4B. The pH Scale
Theory
Page 89
2.4C. The Decibel Scale
Theory
Page 90
Exercises 2.3
Problem
Page 91
Estimating World Population
Theory
Page 92
Chapter Summary
Theory
Page 93
Concept Check
Test
Page 94
Chapter Review Test 2A
Test
Page 95
Chapter Review Test 2B
Test
Page 97
Chapter Review Test 2C
Test
Page 99
Chapter Review Test 2D
Test
Page 101
Chapter 3. Exponential and Logarithmic Equations and Inequalities
Theory
Page 104
3.1. Exponential Equations and Inequalities
Theory
Page 104
3.1A. Exponential Equations
Theory
Page 104
3.1A1. Equations of the Form a^f(x) = a^g(x)
Theory
Page 104
3.1A2. Equations of the Form a^f(x) = b
Theory
Page 105
3.1A3. Equations of the Form a^f(x) = b^g(x)
Theory
Page 105
3.1A4. Working with Exponential Equations
Theory
Page 106
3.1A5. Exponential Equations with a Unique Solution
Theory
Page 110
3.1A6. Equations of the Form f(x)^g(x) = f(x)^h(x)
Theory
Page 110
3.1A7. Exponential Equations with Parameters
Theory
Page 112
3.1B. Exponential Inequalities
Theory
Page 113
Exercises 3.1
Problem
Page 117
3.2. Logarithmic Equations and Inequalities
Theory
Page 118
3.2A. Logarithmic Equations
Theory
Page 118
3.2A1. Equations of the Form log_f(x) g(x) = b
Theory
Page 118
3.2A2. Equations with Logarithms of the Same Base
Theory
Page 120
3.2A3. Working with Logarithmic Equations
Theory
Page 121
3.2A4. Equations with Logarithms to Different Bases
Theory
Page 122
3.2A5. Logarithmic Equations with a Unique Solution
Theory
Page 123
3.2A6. Logarithmic Equations with Parameters
Theory
Page 124
3.2B. Logarithmic Inequalities
Theory
Page 126
Exercises 3.2
Problem
Page 130
3.3. Systems of Equations and Inequalities
Theory
Page 131
3.3A. Systems of Equations
Theory
Page 131
3.3B. Systems of Inequalities
Theory
Page 133
Exercises 3.3
Problem
Page 135
The Slide Rule
Theory
Page 136
Chapter Summary
Theory
Page 138
Concept Check
Test
Page 138
Chapter Review Test 3A
Test
Page 139
Chapter Review Test 3B
Test
Page 141
Chapter Review Test 3C
Test
Page 143
Chapter Review Test 3D
Test
Page 145
Answers to Exercises
Answer
Page 147
Answers to Tests
Answer
Page 151
Glossary
Other
Page 152
What Is a Logarithm?
Other
Page 155
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