College Algebra, 4th Edition

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

$$A(t)=A_0{e}^{kt}.$$ (18)

Equation (18) is a realistic model ...