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University of Rochester: Exponential Decay
A detailed and comprehensive site explaining exponential decay. Includes formulas and many examples.
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.
Windstream
Ojk's Precalculus Study Page: The Number E and the Function E^x
An introduction to the natural exponential function, beginning with the limit definition of the irrational number e. Includes several examples and exercises with solutions which deal with the compound interest formula.
CK-12 Foundation
Ck 12: Algebra: Properties of Exponents Study Guide
This comprehensive study guide highlights the main terms and formulas needed to understand properties of exponents. Examples are included.
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.
Department of Defense
Do Dea: Ap Calculus: Radioactivity and Half Life [Pdf]
Apply the Law of Exponential Change to solve a "real-world" science problem. Formulas and examples are provided. Great review for the AP Calculus test!