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Algorithms are basically sequences of instructions to solve a problem or to perform a calculation. A logarithm is a specific mathematical concept. For more information on each, look at the sites...
Many thousands of them
It is any METHOD for solving a problem; it may be an equation, or it may be a number of steps. (Or a combination.)
It's a set of rules for solving a problem in a finite number of steps.http://en.wikipedia.org/wiki/Algorithm