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Laws of Logarithms: Formulae and Examples - Prof. Sandra Nite, Study notes of Mathematics

Texas A&M University (A&M)Mathematics

Prof. Sandra Nite

Lecture notes on the laws of logarithms, including the properties of logarithms, the change of base formula, and examples of how to use these laws to expand and combine logarithmic expressions.

Typology: Study notes

Pre 2010

Uploaded on 02/13/2009

koofers-user-uhw 🇺🇸

10 documents

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Download Laws of Logarithms: Formulae and Examples - Prof. Sandra Nite and more Study notes Mathematics in PDF only on Docsity! Section 4-3 1 Math 150 Lecture Notes Laws of Logarithms Laws of Logarithms Let a be a positive number, with a ≠ 1. Let A, B, and C be any real numbers with A > 0 and B > 0. 1. loga (AB) = logaA + loga B 2. loga       B A = loga A – loga B 3. loga (A C ) = C loga A Change of Base Formula b x x a a b log log log = Example 1: Evaluate the expression. log3 100 – log3 18 – log3 50 Example 2: Use the Laws of Logarithms to expand the expression:       cb a 4 2 log Example 3: Use the Laws of Logarithms to expand the expression: 10 2 )1( 3 ln +x x

Laws of Logarithms: Formulae and Examples - Prof. Sandra Nite, Study notes of Mathematics

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