'Log functions' diaporamas de présentation

Logarithmic Functions & Their Graphs

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6.6 The Natural Base, e

6.6 The Natural Base, e. Objectives: Evaluate natural exponential and natural logarithmic functions. The natural base, e, is used to estimate the ages of artifacts and to calculate interest that is compounded continuously. The Natural Exponential Function

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ET 5.5

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Co-Requisite Courses & the Flipped Classroom: An Alternative for Developmental Education

Co-Requisite Courses & the Flipped Classroom: An Alternative for Developmental Education. Dr. Scott McDaniel Middle Tennessee State University. The Problem.

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Exponential and Logarithmic Functions (1/30/09)

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Applied Calculus (MAT 121) Dr. Day Monday, March 19, 2012

Applied Calculus (MAT 121) Dr. Day Monday, March 19, 2012. Derivatives of Log Functions (5.5) Exponential Models (5.6) Remember Your Derivative Rules! Derivative Rule for Exponential Functions Derivative Rule for Logarithmic Functions Using and Applying these Derivatives.

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Applied Calculus (MAT 121) Dr. Day Thursday, March 22, 2012

Applied Calculus (MAT 121) Dr. Day Thursday, March 22, 2012. Derivatives of Log Functions (5.5) Exponential Models (5.6) Remember Your Derivative Rules! Derivative Rule for Exponential Functions Derivative Rule for Logarithmic Functions Using and Applying these Derivatives.

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Warm Up

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3.4 Solving Exponential and Logarithmic Equations

3.4 Solving Exponential and Logarithmic Equations. Exponential Equations. One way to solve exponential equations is to use the property that if 2 powers w/ the same base are equal, then their exponents are equal. For b>0 & b ?1 if b x = b y , then x=y. Solve by equating exponents.

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10. Derivatives of Log Functions

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10.2 Logarithms and Logarithmic Functions

10.2 Logarithms and Logarithmic Functions. Algebra II w/trig. A logarithm is another way to write an exponential. A log is the inverse of an exponential. Definition of Log function: The logarithmic function with base b where b>0 and b ? 1, is denoted by log b and is defined by:

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3.8 Exponential & Logarithmic Derivatives

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Logarithmic Functions

Logarithmic Functions. The logarithmic function to the base a , where a > 0 and a ? 1 is defined:. y = log a x if and only if x = a y. logarithmic form. exponential form.

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Graphing Log Functions

Graphing Log Functions. Pre-Calculus. Graphing Logarithms. Objectives: Make connections between log functions and exponential functions Construct a table of values for a log function Graph a log function Vocabulary: logarithms, natural logarithms. Graphing Logarithms.

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L5.7 Exponential Equations and Changing Bases

L5.7 Exponential Equations and Changing Bases. If f(x) = log 3 x, show that. L5.7 Warm up. The above shows that horizontally stretching the graph of f by 3 is equivalent to. shifting down one unit. Is this true for all log functions?.

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Applied Calculus (MAT 121) Dr. Day Wednesday March 7, 2012

Applied Calculus (MAT 121) Dr. Day Wednesday March 7, 2012. Review: Exponent Properties (5.1) Logarithms (5.2) Converting exponent form to log form Graphs of log functions Using logs to solve equations. Exponential Functions. Big Ideas What are Exponential Growth and Exponential Decay?

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Calculus II Chapter 6 Section 7 Derivatives & Integrals of exponential and log functions

Calculus II Chapter 6 Section 7 Derivatives & Integrals of exponential and log functions. David Dippel LoneStar College - Montgomery. Derivatives of base e. Copy e u . And multiply by the derivative of u. Example #7. Derivatives of bases other than e.

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3.4 Exponential and Logarithmic Equations

3.4 Exponential and Logarithmic Equations. Properties of Exp. and Log Functions. log a a x = x ln e x = x. Solving Exponential Equations. Take the ln of both sides. Ex. e x = 72. ln e x = ln 72. x = ln 72. Ex. 4e 2x = 5. Solving an Exponential Equation.

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Logarithmic Functions

Logarithmic Functions. Log Functions. Changing Forms y = log b x x = b y Use these formulas to help you rewrite log functions. We rewrite them so they are in forms that are easier to work with. l og 2 8 = 3 l og 9 3 = l og 5 ( ) = -2. 8 = 2 3 3 = 9 1/2 = 5 -2

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Applications of Exponential & Log Functions

Applications of Exponential & Log Functions. Review of Formulas for Compound Interest: After t years, the balance A in an account with principal P and annual interest rate r (in decimal form) is given by the formulas: For n compoundings per year:

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