5. Exponential and Logarithmic Functions

Model Exponential Growth and Decay

Exponential Growth and Decay

An Exponential Growth Problem

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

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

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

College Algebra

https://static.studychannel-prd.pearsonprd.tech/courses/college-algebra/thumbnails/college-algebra

#FFFFFF

patrickJMT

Mr Allen Jordan

Marty Brandl

SnugglyHappyMathTime

LearnZillion

Top Tier Math

CK-12 Foundation

mattemath

1. Fundamental Concepts of Algebra

2. Equations and Inequalities

3. Functions and Graphs

4. Polynomial and Rational Functions

6. Systems of Equations and Inequalities

7. Matrices and Determinants

8. Conic Sections

9. Sequences, Induction, and Probability

undefined - Channels

Expand Logarithmic Expressions

Condense Logarithmic Expressions

The Change-of-Base Property

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

Exponential Functions

Use Logistic Growth Models

Choose an Appropriate Model for Data

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

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

General Chemistry

Jules

Study the key concepts of Physics with descriptive videos, questions, and more

Physics

Patrick

General Biology

Jason

Financial Accounting

Brian

Dive deep into Psychology with videos, practice problems, and more.

Psychology

Microeconomics

The first in a two-course sequence introduces the basic structure and functions of the human body

Anatomy & Physiology

College Algebra covers algebraic topics and skills necessary to succeed in college-level math

Organic Chemistry

Johnny

Genetics

Kylia

GOB Chemistry

Microbiology

Cell Biology

Analytical Chemistry

Study topics incliding trogonometric functions, identities and equations, solutions of triangles, complex numbers, and other topics as time permits

Trigonometry

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

Precalculus

Biochemistry

Macroeconomics

Chemistry

Biology

Math

Business

Social Sciences

Michelle Barry Franco

Building Great Presentations

Eric Zackrison, PhD

Critical Thinking And Problem Solving

Sam Bennett

Embracing Times Of Uncertainty

Nicole Tetreault, PhD

Emotional Intelligence Basics

Eugene Choi, PharmD

Enhancing Your Critical Thinking Skills

Jason Richardson, PsyD

Habits To Win Every Day

Alyssa Lowery, PhD

Having Powerful Advanced Conversations

Don Gilman, EdD

How To Influence & Persuade

Amy Matthews

Leadership Skills For Rising Stars

Listening To Lead

Michael Shermer, PhD

Making Decisions Under Uncertainty

Lynne Hurdle

Mistakes To Avoid When Resolving Conflict

Michael Veltri

Overcoming Decision Making Traps

Mike Vardy

Prioritizing Effectively

Secrets Of Effective Prioritization

Strategies To Build Up Your Creativity

Tools For Decision Making

Tutti Taygerly

Unleash And Advance Your Creativity

Winning Collaboration: How To Work More Effectively With Different Personalities

Writing Emails People Want To Read

Critical Thinking

Self Management

Digital Literacy

Collaboration

Communication

Analytical Thinking

Leadership

Flexibility/Adaptability

Innovation

Eric Zackrison

Nicole Tetreault

Dive deep into Python with videos and more.

Introduction to Python

Arianne Dee

Agile Project and Product Management

Agile & Product Management

Mariya Breyther 

Introduction to Microsoft Power BI

Microsoft Power BI

Chris Sorensen

Data Analysis Fundamentals with Excel

Data Analysis - Excel

Chris Sorensen & Ammul Shergill

Getting Started with  and Cryptocurrency

Introduction to Blockchain

George Levy

Learn Enough HTML, CSS and Layout to be Dangerous

HTML, CSS & Layout

Lee Donahoe & Michael Hartl

Learn Enough JavaScript to be Dangerous: A Tutorial Introduction to Programming with JavaScript