Cool Math
Coolmath: Solving for Time and Rates
Explanation and examples of solving exponential equations for time and rate.
Richland Community College
Richland Community College: Exponential Models
This site from Richland Community College contains specific examples of where logarithmic and exponential formulas are used, including: exponential growth and decay, Gaussian, logistics growth, and logarithmic.
Illustrative Mathematics
Illustrative Mathematics: F Bf Exponentials and Logarithms I
The purpose of this task is to help learners see the "why" behind properties of logs that are familiar but often just memorized (and quickly forgotten or misremembered). The task focuses on the verbal definition of the log, helping...
Texas Instruments
Texas Instruments: Exponential Models and Logarithmic Scales
In this activity, students will analyze exponential growth data and then switch to a logarithmic scale. Includes both an exponential and a linear regression on the data, and asks students to make connections between two forms of...
Math Medics
S.o.s. Math:applications of Exponential and Logarithmic Functions: Interest Rate
A set of examples and exercises that cover interest rate problems and how to solve them using exponents and logarithms.
Texas Instruments
Texas Instruments: Exponential and Logarithmic Equations
This problem set contains questions about exponential and logarithmic equations for base e, base 10, and any base b. Problems range from simple manipulation to applications, including graphical transformations. Solutions and explanations...
Analyze Math
Analyze Math: Solve Exponential and Logarithmic Equations
The tutorial investigates how to solve exponential and logarithmic equations. The activity includes examples with detailed solutions.
Khan Academy
Khan Academy: Algebra Ii: Evaluate Logarithms
Evaluate basic logarithmic expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Math Medics
S.o.s. Math: Exponential and Logarithmic Functions /Radioactive Decay
A set of examples and exercises that show how to solve radioactive decay problems by using exponents and logarithms.
Math Medics
S.o.s. Math: Exponential and Logarithmic Functions / Amortization
A set of examples and exercises that cover how to solve mortgage problems by using exponents and logarithms.
University of Virginia
U of Virgina: The Number E and the Exponential Function
This site provides an explaination of the number e with equations and examples.
Other
Brown Math: It's the Law Too the Laws of Logarithms
The laws of logarithms (which flow directly out of the laws of exponents) are discussed here. Combining logs with the same base and the Change of Base Formula are also explained in straightforward language for the reader.
Purple Math
Purplemath: Logarithmic Word Problems
Logarithmic word problems generally involve evaluating a given logarithmic equation at a given point, and solving for a given variable; they're pretty straightforward. This resource contains worked examples to demonstrate the reasoning...
Texas Instruments
Texas Instruments: Numb3 Rs: Exponential Modeling
Based off of the hit television show NUMB3RS, this lesson introduces students to exponential equations, their graphs, and their application in the real world. The lesson is framed in the context of the number of cell phone users for a...
Illustrative Mathematics
Illustrative Mathematics: F Le Comparing Exponentials
In this task, students work with exponential functions in a real-world context involving continuously compounded interest. They will study how the base of the exponential function impacts its growth rate and use logarithms to solve...
Richland Community College
Richmond Community College: Logarithmic Functions
This site which is provided for by the Richmond Community College gives information examining logarithmic functions and their graphs.
Other
Wpi: Exponential Decay and Effective Medicine Dosage
This site is an example of the use of exponential decay. The example involves the effectiveness of a medical dosage over time.
University of California
University of California: Integrals and the Natural Log
This site explains the natural log and its integral. Includes examples.
Other
Labs and Projects: Applications of Exponential and Logarithmic Function
This site has several examples of exponential functions. There is also some background and theory information.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Logarithmic Functions
This clear tutorial provides the definition of a logarithmic function as well as instruction on how to perform important tasks with them. Find step-by-step solutions to example problems and practice exercises for you to complete and check.
University of Vienna (Austria)
The Graphs of Sin, Cos, and Tan Maths Online
This applet allows the user to create the graphs of sin, cos, and tan by moving a scroll bar. The user can watch the unit circle and the graph simultaneously to see how the two are related. The user may also choose to see the angle...
CK-12 Foundation
Ck 12: Algebra Ii: 3.7 Properties of Logs
This section explores the properties of logs. More specifically, it investigates how to apply these properties to simplify and expand logarithmic expressions, and to convert between expressions in logarithmic and exponential forms.
CK-12 Foundation
Ck 12: Analysis of Logarithmic Graphs: Graphs of Logarithmic Functions
[Free Registration/Login may be required to access all resource tools.] Graphing logarithmic functions using transformations. Identifying log functions as the inverses of exponential functions. Students examine guided notes, review...
Illustrative Mathematics
Illustrative Mathematics: F Le.4 Graphene
This task provides a real-world context for examining the power of exponential growth and decay. Learners experiment, at the macro level, using scotch tape to pull a chip of graphite apart into two pieces. They are asked to find about...