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Understanding Properties of Logarithmic Functions

Explore the laws of logarithms and learn how to express equivalent expressions using individual logarithms. Discover the notation of common and natural logarithms.

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Understanding Properties of Logarithmic Functions

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  1. Sections 12.4 – 12.5Properties of Logarithmic Functions

  2. Law of logarithms

  3. Law of logarithms

  4. Example Express as an equivalent expression using individual logarithms of x, y, and z. Solution = log4x3 – log4 yz = 3log4x – log4 yz = 3log4x – (log4 y +log4z) = 3log4x –log4 y – log4z

  5. Solution continued

  6. Example Express as an equivalent expression that is a single logarithm. = logbx1/3 – logby2 + logbz

  7. Notation • Common Logarithm • Natural Logarithm

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