Students understand the dynamics of acid rain and its impact on the living and non-living environment. They hypothesize how acid rain affects water pH levels in two lake systems with differing watershed features.

Students analyze, discuss and memorize the properties of logs. In this calculus instructional activity, students apply the rules of logs while playing a timed game to see which group can write the equations correctly. They walk away from...

After brainstorming what they know about ocean acidification, youngsters place eggs in acid to determine the effects on calcium-containing organisms, and add carbon dioxide to solutions with sea shell material to discover the impact on...

Students investigate, describe, and predict the effects of parameter changes on the graphs of exponential functions; describe limitations on the domains and ranges of these functions; and examine asymptotic behavior.

Eleventh graders sort different types of functions including rational, periodic, exponential, polynomial, quadratic, logarithmic and linear using "function cards." The functions are displayed in multiple representations including...

Evaluate any logarithm in a calculator with the use of the change of base formula. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

The tutorial examines the change of base formula for logarithms. Students learn about the mathematics concept through examples with detailed solutions.

Clearly presented explanation of how logarithms and exponents work together, the properties of logarithms, the natural logarithm and the natural exponential functions, the common logarithm, changing the base, and real-world applications...

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.

Students continue an examination of logarithms in the Research and Revise stage by studying two types of logarithms--common logarithms and natural logarithm. In this study, they take notes about the two special types of logarithms, why...

This section of a Purplemath lesson gives the formula for a change of base with several examples. The lesson gives examples of typical problems involving changing the base of logarthims including: evaluating, converting to another base;...

Detailed math tutorial introduces logarithm functions giving the basic properties and graphs. Also, discusses how to evaluate some basic logarithms including the use of the change of base formula, the common logarithm, log(x), and the...

Learn about the following properties of logarithms: product rule, quotient rule, power rule, and change of base formula. This tutorial offers simple example of each as well as practice exercises for you to complete and check.

An introduction to logarithms with bases other than 10 and e, and how to work with them when solving equations. This tutorial includes lots of examples and exercises with solutions.

Purplemath gives both a formal and informal discussion of log rules with exercises. Examples include expanding, simplifying, and evaluating logarithms. Changing the base of a logarithm is also discussed with examples.

In this section we will discuss logarithm functions, evaluation of logarithms and their properties. We will discuss many of the basic manipulations of logarithms that commonly occur in Calculus (and higher) classes. Included is a...

This tutorial contains 13 lessons on logarithms and exponential functions including exponential shortcuts and rules, graphs and rules of logarithms, and many more.

The resource investigates properties of logarithmic functions. Topics examined are laws of exponents, expanding logarithmic expressions, condensing logarithmic expressions, and the change of base formula. Class notes and examples are...

This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...

This MathWorld site gives two and three dimensional graph representations of the common logarithmic function, explains its notation, and shows how to represent a common logarithm as a natural logarithm. This site contains numerous...

This site from the University of Utah provides a good simple base conversion page.

This site gives graphs of logarithmic functions and pays particular attention to base 10 and base e (natural logarithm). The site explains how to change bases, the importance of the natural logarithm in calculus, incorporating the...