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Mastering Logarithms: Essential Concepts & Examples

Learn the properties of logarithms, including how they relate to exponents and products. Discover the definitions of natural logarithms and common logarithms, as well as practical examples for better understanding.

yael-kirby
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Mastering Logarithms: Essential Concepts & Examples

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  1. Properties of Logarithims • Since logs are exponents, these identify expresses of the familiar law that the exponent of a product is the sum of the exponents

  2. Log b • Log x is only definened if b and x are both positive, and b=1 • Log x is called the natural logarithm of x and is sometimes written as log 10 • Loge x is called the natural logarithm of x and is sometimes written as x 10

  3. Example: 2 3 3 10 4 5 3

  4. Example • Natural Log log 3=____ In 5 =______ 1.6094 =0.6826 In 3 5 1.0986

  5. Example • Commom Log log 3 =_____ in 5 =_____ .699 = .6826 In 3 5 .4771

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