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Learn how to solve equations using the properties of logarithms. Derive properties from exponents and apply them to solve various equations.

fredhall
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  1. Review 1.) Rewrite as an exponent: 2.) Rewrite as a logarithm: 3.) Evaluate:

  2. Properties of Logarithms

  3. The properties of logarithms can be derived from the properties of exponents. • We use these properties to solve equations.

  4. Properties of Logarithms Suppose m and n are positive numbers, b is a positive number other than 1, and p is any real number. Then the following properties hold.

  5. Example: Solve each equation.

  6. Example: Solve each equation.

  7. Example: Solve each equation.

  8. Try: Solve each equation.

  9. Try: Solve each equation.

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