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Unformatted text preview: Lesson_8.4_LawsofLogs.notebook 8.4 Laws of Logarithms
Recall: Exponent Laws
(2) Quotients (3) Power of a Power
m + n
m n (a )(a ) = a (a )÷(a ) = a (am)n = amn We can derive similar laws for logarithms.
#1: Product Law for Logarithms
Determine an equivalent expression for loga(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) loga(mn) = loga(m/n) = loga(m)c = Example 1 Express as a single logarithm.
(b) log(8) + log(9)
(a) log5224 – log57 (c) log6(x2 – 9) – 2 log6(x – 3) Lesson_8.4_LawsofLogs.notebook Example 2 Evaluate each expression using the laws of logarithms.
(c) 4 log164
(b) log248 – log23 (a) log42 + log432 (d) Example 3 Expand.
a) logax3y4 b) c) Homework Page 475
#1 – 4 (ace), 6ace, 7ac, 8, 9 – 11 (ace) ...
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This note was uploaded on 01/14/2012 for the course MAT 107 taught by Professor Sda during the Spring '11 term at Beacon FL.
- Spring '11