Section 4.4 Exponential and Logarithmic Equations and Inequalities

Before Starting this Section, Review

  1. 1 One-to-one property of exponential functions (Section 4.1 , page 427)

  2. 2 One-to-one property of logarithmic functions (Section 4.2 , page 449)

  3. 3 Rules of logarithms (Section 4.3 , page 471)

Objectives

  1. 1 Solve exponential equations.

  2. 2 Solve applied problems involving exponential equations.

  3. 3 Solve logarithmic equations.

  4. 4 Use the logistic growth model.

  5. 5 Use logarithmic and exponential inequalities.

Logistic Growth Model

In Sections 4.1 and 4.3, we discussed the population growth formula

A(t)=A0ekt. (18)

Equation (18) is a realistic model ...

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