3: Exponential and Logarithmic Functions
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3.1: Exponential Growth and Decay
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In this section, we will explore using exponential functions be used to describe a relationship between two quantities where the rate of change is not constant and a linear function would not suffice.
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3.2: Modeling with Exponential Functions
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In this section we explore modeling with exponential functions given a variety of different scenarios: a percent rate of change, from data, and in applications.
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3.3: More on Compounding Interest and Continuous Exponential Models
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In this section, we will explore modeling compounding interest with exponential functions in more detail. We will also explore continuous exponential growth and the natural base e.
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3.4: Solving Exponential Equations with Logarithms
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In this section, we will introduce logarithmic functions as a tool to solve exponential equations. We will also explore solving logarithmic equations and revisit modeling applications with exponential functions.
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3.5: Describing Relationships with Logarithmic Functions
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In this section, we explore describing relationships with logarithmic functions. We will explore their graphs. We will derive two additional properties of logarithms that will help solving equations to make predictions and simplifying expressions with logarithms.
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