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Lesson_8.4_LawsofLogs

Lesson_8.4_LawsofLogs - Lesson_8.4_LawsofLogs.notebook 8.4...

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Lesson_8.4_LawsofLogs.notebook 8.4 Laws of Logarithms Recall: Exponent Laws (1) Products (2) Quotients (3) Power of a Power (a m )(a n ) = a m + n (a m ) ÷ (a n ) = a m ­ n (a m ) n = a mn We can derive similar laws for logarithms. #1: Product Law for Logarithms Determine an equivalent expression for log a (mn), where a , m , and n are positive numbers and a ≠1. Laws of Logarithms (provided a > 0, m > 0, n > 0, and a ≠ 1) log a (mn) = log a (m/n) = log a (m) c = Example 1 Express as a single logarithm.
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