5. Exponential and Logarithmic Functions

Use Logistic Growth Models

Exponential Growth and Decay

The Logistic Equation and Models for Population - Example 1, part 1

Create and solve exponentials using functions

Write an exponential growth function

Linear, Quadratic, and Exponential Models

n Exercises 92–93, rewrite the equation in terms of base e. Express the answer in terms of a natural logarithm and then round to three decimal places. y = 73(2.6)^x

Choosing a Model for Data

Use the formula for continuous compounding to solve Exercises 84–85. How long, to the nearest tenth of a year, will it take $50,000 to triple in value at an annual rate of 7.5% compounded continuously?

Application of Logistic Growth Model

Exponential Growth / Population Growth Problem.

Exponential Decay / Finding Half Life

Determining if a Function is Linear, Quadratic, or Exponential from a Table

Application of Exponential Growth

Application of Exponential Decay

Radioactive Decay and Exponential Growth

The Logistic Equation and Models for Population - Example 1, part 2

The Logistic Equation and the Analytic Solution

Comparing Linear, Exponential, and Quadratic Functions

Rewriting an exponential model as having base e

Expressing an Exponential in Base e

Determine the age of an object by modeling exponential decay

n Exercises 92–93, rewrite the equation in terms of base e. Express the answer in terms of a natural logarithm and then round to three decimal places. y = 6.5(0.43)^x

An Exponential Growth Problem

Use the formula for continuous compounding to solve Exercises 84–85. What annual rate, to the nearest percent, is required for an investment subject to continuous compounding to triple in 5 years?

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Expand Logarithmic Expressions

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The Change-of-Base Property

Properties of Logarithms

Use Like Bases to Solve Exponential Equations

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Use the Definition of a Logarithm to Solve Logarithmic Equations

Use the One-to-One Property of Logarithms to Solve Equations

Solve Problems Using Exponential and Logarithmic Equations

Exponential and Logarithmic Equations

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Evaluate Functions with Base <i>e</i>

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Express an Exponential Model in Base <i>e</i>

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