Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.3 - 1.

Slides:



Advertisements
Similar presentations
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Advertisements

Logarithmic Equations Unknown Exponents Unknown Number Solving Logarithmic Equations Natural Logarithms.
© 2010 Pearson Education, Inc. All rights reserved.
© 2010 Pearson Education, Inc. All rights reserved.
Chapter 8 The Role of Technology in Growth. Copyright © 2005 Pearson Addison-Wesley. All rights reserved. 8-2.
Copyright © 2009 Pearson Education, Inc. CHAPTER 5: Exponential and Logarithmic Functions 5.1 Inverse Functions 5.2 Exponential Functions and Graphs 5.3.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Set Operations and Compound Inequalities.
LOGS EQUAL THE The inverse of an exponential function is a logarithmic function. Logarithmic Function x = log a y read: “x equals log base a of y”
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 9-1 Exponential and Logarithmic Functions Chapter 9.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Slide Copyright © 2012 Pearson Education, Inc.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 9-1 Exponential and Logarithmic Functions Chapter 9.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 9-1 Exponential and Logarithmic Functions Chapter 9.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
8.3-4 – Logarithmic Functions. Logarithm Functions.
Copyright © 2009 Pearson Education, Inc. CHAPTER 5: Exponential and Logarithmic Functions 5.1 Inverse Functions 5.2 Exponential Functions and Graphs 5.3.
Copyright © 2009 Pearson Education, Inc. Slide Active Learning Lecture Slides For use with Classroom Response Systems © 2009 Pearson Education, Inc.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Logarithms 1 Converting from Logarithmic Form to Exponential Form and Back 2 Solving Logarithmic Equations & Inequalities 3 Practice Problems.
STUDENTS WILL BE ABLE TO: CONVERT BETWEEN EXPONENT AND LOG FORMS SOLVE LOG EQUATIONS OF FORM LOG B Y=X FOR B, Y, AND X LOGARITHMIC FUNCTIONS.
Copyright © 2015, 2008, 2011 Pearson Education, Inc. Section 5.6, Slide 1 Chapter 5 Logarithmic Functions.
NATURAL LOGARITHMS. The Constant: e e is a constant very similar to π. Π = … e = … Because it is a fixed number we can find e 2.
Solving Exponential Equations. We can solve exponential equations using logarithms. By converting to a logarithm, we can move the variable from the exponent.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Common Logarithms - Definition Example – Solve Exponential Equations using Logs.
Solving Logarithmic Equations
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
12.8 Exponential and Logarithmic Equations and Problem Solving Math, Statistics & Physics 1.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Copyright © 2011 Pearson, Inc. 3.3 Logarithmic Functions and Their Graphs.
Section 3 Chapter Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Logarithmic Functions Define a logarithm. Convert between.
Goals:  Understand logarithms as the inverse of exponents  Convert between exponential and logarithmic forms  Evaluate logarithmic functions.
Algebra The Natural Base, e. Review Vocabulary Exponential Function–A function of the general form f(x) = ab x Growth Factor – b in the exponential.
CHAPTER 5: Exponential and Logarithmic Functions
Transcendental Functions
Chapter 1 Functions Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Section 1.5 Circles Copyright © 2013 Pearson Education, Inc. All rights reserved.
Logarithmic Functions and Their Graphs
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Packet #15 Exponential and Logarithmic Equations
5.4 Logarithmic Functions and Models
Inverse, Exponential and Logarithmic Functions
Lial/Hungerford/Holcomb/Mullins: Mathematics with Applications 11e Finite Mathematics with Applications 11e Copyright ©2015 Pearson Education, Inc. All.
CHAPTER 5: Exponential and Logarithmic Functions
Lial/Hungerford/Holcomb: Mathematics with Applications 10e
Inverse, Exponential and Logarithmic Functions
Section 2.5 Graphing Techniques; Transformations
Wednesday, January 13 Essential Questions
Exponential Equations
Copyright © 2013 Pearson Education, Inc. All rights reserved
Section 2.5 Graphing Techniques; Transformations
The Inverse Trigonometric Functions (Continued)
Copyright © 2006 Pearson Education, Inc
Inverse, Exponential and Logarithmic Functions
Quadratic Equations, Inequalities, and Functions
Nonlinear Functions, Conic Sections, and Nonlinear Systems
Chapter 1 Functions Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Trigonometric Equations
Inverse, Exponential and Logarithmic Functions
Exponential and Logarithmic Forms
Section 10.5 The Dot Product
CHAPTER 5: Exponential and Logarithmic Functions
Lial/Hungerford/Holcomb: Mathematics with Applications 10e
Warm Up  .
Logarithmic Functions
Exponential Equations
Exponential Functions Logarithmic Functions
2.2 Simplifying Expressions
Presentation transcript:

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Inverse, Exponential and Logarithmic Functions Chapter 11

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Logarithmic Functions

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Logarithmic Functions Objectives 1.Define a logarithm. 2.Convert between exponential and logarithmic forms. 3.Solve logarithmic equations of the form log a b = k for a, b, or k. 4.Define and graph logarithmic functions. 5.Use logarithmic functions in applications involving growth or decay.

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Logarithmic Functions Define a Logarithm

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Logarithmic Functions Define a Logarithm

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Logarithmic Functions The Meaning of Logarithm

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Logarithmic Functions Converting Between Exponential / Logarithmic Forms

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Logarithmic Functions Solving Logarithmic Equations

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Logarithmic Functions Solving Logarithmic Equations

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Logarithmic Functions Solving Logarithmic Equations

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Logarithmic Functions Defining a Logarithmic Function

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Logarithmic Functions Graphing a Logarithmic Function

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Logarithmic Functions Graphing a Logarithmic Function Graph rises left to right. Graph falls left to right.

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Logarithmic Functions Solving an Application Problem with Logarithms

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Logarithmic Functions Solving an Application Problem with Logarithms