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Properties of Logarithms

Properties of Logarithms. Basic Properties. All logarithmic functions have certain properties. The basic properties are:. Change of Base Formula. One property of logarithms is that a logarithm in any base can be rewritten as an equivalent logarithm in any other base. The formula is:.

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Properties of Logarithms

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  1. Properties of Logarithms

  2. Basic Properties All logarithmic functions have certain properties. The basic properties are:

  3. Change of Base Formula One property of logarithms is that a logarithm in any base can be rewritten as an equivalent logarithm in any other base. The formula is: This is known as the change of base formula and is especially useful when the base we are changing to is either 10 (the common log) or e (the natural logarithm) because most calculators have one or both of those logarithm functions built in.

  4. Practice Problem Evaluate: Rewrite the log expression as one using either the common log or the natural log and use your calculator to solve.

  5. Properties A logarithm in any base has the following properties:

  6. Practice Expand each the following expressions as the sum, difference and/or constant multiple of individual logarithms:

  7. Practice Condense each of the following expressions to the logarithm of a single quantity.

  8. Summary

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