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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. Log. b. Log x is only definened if b and x are both positive, and b=1
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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
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
Example: 2 3 3 10 4 5 3
Example • Natural Log log 3=____ In 5 =______ 1.6094 =0.6826 In 3 5 1.0986
Example • Commom Log log 3 =_____ in 5 =_____ .699 = .6826 In 3 5 .4771
