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6: Exponential and Logarithmic Functions

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    • 6.1: Introduction to Exponential and Logarithmic Functions
      In this section we will develop techniques for solving equations involving exponential functions.
    • 6.2: Properties of Logarithms
      We explore the algebraic properties of logarithms. As we shall see shortly, logs inherit analogs of all of the properties of exponents you learned in Elementary and Intermediate Algebra. We first extract two properties to remind us of the definition of a logarithm as the inverse of an exponential function.
    • 6.3: Exponential Equations and Inequalities
      We now turn our attention to equations and inequalities involving logarithmic functions, and not surprisingly, there are several strategies to choose from.
    • 6.4: Logarithmic Equations and Inequalities
    • 6.5: Applications of Exponential and Logarithmic Functions
      exponential and logarithmic functions are used to model a wide variety of behaviors in the real world. In the examples that follow, note that while the applications are drawn from many different disciplines, the mathematics remains essentially the same. Due to the applied nature of the problems we will examine in this section, the calculator is often used to express our answers as decimal approximations.

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