5. Exponential and Logarithmic Functions

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

Exponential Growth and Decay

Rewriting an exponential model as having base e

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.

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

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

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?

Learn the toughest concepts covered in Algebra with step-by-step video tutorials and practice problems by world-class tutors

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Expand Logarithmic Expressions

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Properties of Logarithms

Use Like Bases to Solve Exponential Equations

Use Logarithms to Solve Exponential Equations

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

Evaluate & Graph Exponential Functions

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

Use Compound Interest Formulas

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Model Exponential Growth and Decay

Use Logistic Growth Models

Choose an Appropriate Model for Data

Change From Logarithmic to Exponential Form

Change From Exponential to Logarithmic Form

Evaluate Logarithms

Use Basic Logarithmic Properties

Graph Logarithmic Functions

Use Common Logarithms

Logarithmic Functions

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