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Elementary Functions Part 3, Exponential Functions & Logarithms Lecture 3.6a, Applications of Logarithms Dr. Ken W. Smith Sam Houston State University 2013 Smith (SHSU)…

Slide 1 6.5 Applications of Common Logarithms Objectives: Define and use the common logarithmic function to solve exponential and logarithmic equations. Evaluate logarithmic…

Elementary Functions Part 3, Exponential Functions & Logarithms Lecture 3.6a, Applications of Logarithms Dr. Ken W. Smith Sam Houston State University 2013 Smith (SHSU)…

Elementary Functions Part 3, Exponential Functions & Logarithms Lecture 3.6a, Applications of Logarithms Dr. Ken W. Smith Sam Houston State University 2013 Smith (SHSU)…

MatheMatics Learning centre Mathematics Learning Centre.indd 1 28/01/10 12:03 PM Exponents and Logarithms: Applications and Calculus Jackie Nicholas Christopher Thomas Mathematics…

Mathematics Learning Centre Exponents and Logarithms: Applications and Calculus Jackie Nicholas and Christopher Thomas c©1998 University of Sydney Acknowledgements Parts…

Elementary Functions Part 3, Exponential Functions Logarithms Lecture 3.6a, Applications of Logarithms Dr. Ken W. Smith Sam Houston State University 2013 Smith SHSU Elementary…

Slide 1 Slide 2 Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines Slide 3 Slide 4 Slide 5 Slide 6 Find any relative extrema for of Slide…

Slide 1Logarithms Log Review Slide 2 Logarithms For example Slide 3 Logarithms Slide 4 Laws of Logarithms Slide 5 Intermodulation noise –results when signals at different…

Logarithms Expanding and condensing logarithms PROPERTIES OF LOGARITHMS Product Property: Quotient Property: Power Property: PROPERTIES OF LOGARITHMS PROPERTIES OF LOGARITHMS…

Properties of Logarithms Properties of Logarithms Section 3.3 Properties of Logarithms What logs can we find using our calculators? Common logarithm Natural logarithm Although…

Slide 1 Properties of Logarithms Change of Base Formula: 1 The inverse function of an Exponential functions is a log function. Domain: Range: Key Points: Asymptotes: Graphing…

Law of Logarithms How do we write an exponential equation as a logarithmic equation? Rewrite 3² = 9 as a logarithmic equation. log3 9 = 2 Write the following exponential…

Properties of Logarithms Properties of Logarithms Section 3.3 Objectives Rewrite logarithms with different bases. Use properties of logarithms to evaluate or rewrite logarithmic…

Laws of logarithms IB SL/HL Logarithms Logarithms were invented by John Napier as another form of writing indices. The rules of logarithms 1. Use your calculator to find:…

Properties of Logarithm Examples Expand: 1. log3(2x) = log3(2) + log3(x) 2. log4( 16/x ) = log4(16) â log4(x) 3. log5(x3) = 3log5(x) 4. log2(8x4) â log2(5) = log2(8) +…

Properties of Logarithms Tools for solving logarithmic and exponential equations Letâs review some terms. When we write log5 125 5 is called the base 125 is called the argument…

Properties of Logarithms Properties of Logarithms These properties are based on rules of exponents since logs = exponents Example: 5 to what power = 1? 0 Example: 0 Example:…

Properties of logarithms Math 3 Keeper 29 Properties of Logarithms Let b, u, and v be positive numbers such that bâ 1. Product property: logbuv = logbu + logbv Quotient…

Properties of Logarithms They’re in Section 3.4a Proof of a Prop ‘o Logs Let and In exponential form: Let’s start with the product of R and S: A Prop ‘o Logs!!! Properties…