Help Algebra
Help algebra.com: Solving Logarithms and Exponentials
Examples are provided to demonstrate techniques for solving equations that contain logarithms and exponentials. Explanations of the solutions are also include to help further understanding of the concept.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Kiss
The purpose of this task is to use technology to study the behavior of some exponential and logarithmic graphs and to manipulate some explicit logarithmic and exponential expressions. Aligns with HSF-LE.A.4, F-BF.B.5, and F-IF.C.7.e.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Inverse Functions
The resource investigates inverse functions. Topics examined are domain, range, one-to-one functions, graphing inverse functions, finding inverse functions algebraically, and logarithmic and exponential functions. Students learn about...
Illustrative Mathematics
Illustrative Mathematics: F Le Algae Blooms
This problem examines the growth of algal blooms in Chesapeake Bay. Students build an exponential function modeling algae concentration based on the information provided, and gain an appreciation for the exponential growth exhibited...
CK-12 Foundation
Ck 12: Algebra Ii: 3.11 Modeling With Exponential Decay and Log Functions
This lesson continues exploring the process for modeling real world scenarios by writing and solving exponential and logarithmic functions. It also covers how to create and interpret graphs of such functions.
Cool Math
Coolmath: Solving for Time and Rates
Explanation and examples of solving exponential equations for time and rate.
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...
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.
Illustrative Mathematics
Illustrative Mathematics: F Le.4 Graphene
This task provides a real-world context for examining the power of exponential growth and decay. Students experiment, at the macro level, using scotch tape to pull a chip of graphite apart into two pieces. They are asked to find about...
Paul Dawkins
Paul's Online Notes: Limits at Infinity, Part Ii: Practice Problems
Provides practice problems that review limits at infinity concentrating on exponentials, logarithms and inverse tangents in this section.
Illustrative Mathematics
Illustrative Mathematics: F Bf Exponentials and Logarithms Ii
The purpose of this task is to help students see that the definition of the logarithm as an exponent results in an inverse relationship between the exponential and logarithm functions with the same base. This prepares them to think about...
Paul Dawkins
Paul's Online Notes: Algebra: Applications
Provides examples of applications of exponential functions involving compound interest and exponential growth and decay, and an example of an application of a logarithm involving earthquake intensity.
Illustrative Mathematics
Illustrative Mathematics: F Le Carbon 14 Dating in Practice Ii
This problem introduces Carbon 14 dating which is used by scientists to date certain organic material. This version is based on the ratio of Carbon 14 to Carbon 12, which decreases at a constant exponential rate after an organism dies....