Exponential Equations

Slides:



Advertisements
Similar presentations
Exponential and Logarithmic Equations Section 3.4.
Advertisements

WARM - UP. SOLVING EXPONENTIAL & LOGARITHMIC FUNCTIONS SECTION 3.4.
Questions over 4.6 HW???. 4.7 (Green) Solve Exponential and Logarithmic Equations No School: Monday Logarithms Test: 1/21/10 (Thursday)
5.4 Exponential and Logarithmic Equations Essential Questions: How do we solve exponential and logarithmic equations?
Copyright © 2007 Pearson Education, Inc. Slide 5-2 Chapter 5: Exponential and Logarithmic Functions 5.1 Inverse Functions 5.2 Exponential Functions 5.3.
7.6 – Solve Exponential and Log Equations
6.6 – Solving Exponential Equations Using Common Logarithms. Objective: TSW solve exponential equations and use the change of base formula.
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 © 2011 Pearson Education, Inc. Slide Exponential and Logarithmic Equations and Inequalities Properties of Logarithmic and Exponential.
Solving Exponential and Logarithmic Equations Section 8.6.
Slide Copyright © 2012 Pearson Education, Inc.
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
Chapter 4 Exponential and Logarithmic Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Exponential and Logarithmic Equations.
How are you all doing? Any questions about anything?
2 - 1 © 2012 Pearson Education, Inc.. All rights reserved. Section 2.4 Exponential Functions Warm-up: Page 78 #62 How are Exponential & Logarithmic Functions.
Solving Exponential Equations. We can solve exponential equations using logarithms. By converting to a logarithm, we can move the variable from the exponent.
Exponential and Logarithmic Equations
Section 5.5 Solving Exponential and Logarithmic Equations Copyright ©2013, 2009, 2006, 2001 Pearson Education, Inc.
Copyright © 2011 Pearson, Inc. 2.7 Solving Equations in One Variable.
Copyright © Cengage Learning. All rights reserved. Pre-Calculus Honors 3.4: Solving Exponential and Logarithmic Equations Chapter 3 Test: Tues 12/15 and.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 6.4 Logarithmic Functions.
LOGARITHMIC AND EXPONENTIAL EQUATIONS LOGARITHMIC AND EXPONENTIAL EQUATIONS SECTION 4.6.
Copyright © 2011 Pearson, Inc. 3.3 Logarithmic Functions and Their Graphs.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Section 1.5 Circles Copyright © 2013 Pearson Education, Inc. All rights reserved.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
8.6 Solving Exponential & Logarithmic Equations
Building Exponential, Logarithmic, and Logistic Models from Data
Packet #15 Exponential and Logarithmic Equations
Inverse, Exponential and Logarithmic Functions
Equations Quadratic in Form Absolute Value Equations
Section 10.2 The Parabola Copyright © 2013 Pearson Education, Inc. All rights reserved.
3.4 Solving Exponential & Logarithmic Functions
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Section 2.5 Graphing Techniques; Transformations
Solving Exponential & logarithmic Equations
Equations Quadratic in Form Absolute Value Equations
The Inverse Sine, Cosine, and Tangent Functions
Exponential Equations
Section 7.3 Solving Absolute Value Equations
Section 9.4 Area of a Triangle
Section 2.5 Graphing Techniques; Transformations
The Inverse Trigonometric Functions (Continued)
Logarithmic and Exponential Equations
The Inverse Sine, Cosine, and Tangent Functions
Inverse, Exponential and Logarithmic Functions
Nonlinear Functions, Conic Sections, and Nonlinear Systems
Section 10.2 The Parabola Copyright © 2013 Pearson Education, Inc. All rights reserved.
Section 10.1 Polar Coordinates
Section 8.4 Area of a Triangle
Inverse, Exponential and Logarithmic Functions
One-to-One Functions;
Logarithmic and Exponential Equations
Polynomial and Rational Inequalities
Solving a Radical Equation
Section 8.3 The Law of Cosines
Section 10.5 General Form of a Conic
Section R.2 Algebra Essentials
Section 10.5 The Dot Product
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Lial/Hungerford/Holcomb: Mathematics with Applications 10e
Exponential Equations
Exponential Functions Logarithmic Functions
Properties of Logarithms
The Inverse Sine, Cosine, and Tangent Functions
Presentation transcript:

Exponential Equations Section 5.6 Logarithmic and Exponential Equations Copyright © 2013 Pearson Education, Inc. All rights reserved

Solve logarithmic equations. Solve exponential equations. Objectives Solve logarithmic equations. Solve exponential equations. Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Recall: Copyright © 2013 Pearson Education, Inc. All rights reserved

Reminder: The domain of logarithmic functions is positive numbers only so check for extraneous solutions. Copyright © 2013 Pearson Education, Inc. All rights reserved

Both solutions are in the domain of the log functions. Copyright © 2013 Pearson Education, Inc. All rights reserved

So the only solution is x=6 Domain: x>4 So the only solution is x=6 Copyright © 2013 Pearson Education, Inc. All rights reserved

Both solutions are valid in the original domain! Copyright © 2013 Pearson Education, Inc. All rights reserved

Recall: Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Homework: 5.6 #5-47 odd Copyright © 2013 Pearson Education, Inc. All rights reserved