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Sections 12.4 – 12.5 Properties of Logarithmic Functions

Sections 12.4 – 12.5 Properties of Logarithmic Functions. Law of logarithms. Law of logarithms. Example. Express as an equivalent expression. using individual logarithms of x , y , and z. Solution. = log 4 x 3 – log 4 yz. = 3 log 4 x – log 4 yz.

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Sections 12.4 – 12.5 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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