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Understanding the Binomial Theorem
How to Solve a Quadratic Equation by Completing the Square

How to Express Exponential Relationships with Logarithms

You may come across logarithms in your calculus work. A logarithm is just a different way of expressing an exponential relationship between numbers. For instance,

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These two equations say precisely the same thing. You could think of the exponential equation as the normal, English way of expressing the mathematical connection between 2, 3, and 8 and the logarithmic equation as the Greek or Latin way of expressing the very same connection.

The base of a logarithm can be any number greater than zero, other than 1, and by convention, if the base is 10, you don’t write it. For example,

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You should know the following logarithm properties:

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