Honors Precalculus October 31, 2016 Mrs. Agnew

Slides:

Advertisements

Similar presentations

Properties of Logarithmic Functions

Advertisements

Essential Question: What are some of the similarities and differences between natural and common logarithms.

Laws (Properties) of Logarithms

Table of Contents Logarithm Properties - Simplifying Using Combinations The three basic properties for logarithms are... It is important to be able to.

Properties of Logarithms

Section 5.3 Properties of Logarithms Advanced Algebra.

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”

Properties of Logarithms: Lesson 53. LESSON OBJECTIVE: 1)Simplify and evaluate expressions using the properties of Logarithms. 2)Solve logarithmic equations.

Ch. 3.3 Properties of Logarithms

PROPERTIES OF EXPONENTS. PRODUCT OF POWERS PROPERTY.

Objectives: 1.Be able to simplify expressions by applying the Rules of exponents Critical Vocabulary: Product of Powers Property Power of a Power Property.

Logarithms of Products

Objective: Students will be able to use properties to simplify logarithmic expressions.

Properties of Logarithms Section 8.5. WHAT YOU WILL LEARN: 1.How to use the properties of logarithms to simplify and evaluate expressions.

Derivatives of Logarithmic Functions Objective: Obtain derivative formulas for logs.

Essential Question: What are the three properties that simplify logarithmic expressions? Describe how to use them.

7.4 Logarithmic Functions Write equivalent forms for exponential and logarithmic equations. Use the definitions of exponential and logarithmic functions.

Chapter 5: Exponential and Logarithmic Functions 5.5: Properties and Laws of Logarithms Essential Question: What are the three properties that simplify.

Properties of Logarithms

4.5 Properties of Logarithms. Properties of Logarithms log log 6 3 log 4 32 – log 4 2 log 5 √5.

6.10/6.11 Laws of Logarithms and change of base formula.

Section 9.4 Properties of Logarithms

3.3 Day 1 Properties of logarithms –Use the product rule. –Use the quotient rule. –Use the power rule. –Expand logarithmic expressions. Pg. 407 # 2-36.

Logarithmic Functions. Examples Properties Examples.

Section 5.4 Properties of Logarithmic Functions Copyright ©2013, 2009, 2006, 2001 Pearson Education, Inc.

5.5 Evaluating Logarithms 3/6/2013. Properties of Logarithms Let m and n be positive numbers and b ≠ 1, Product Property Quotient Property Power Property.

DIVISION PROPERTIES OF EXPONENTS DIVISION PROERTIES OF EXPONENTS.

7.2 Division Properties of Exponents

Derivatives of Logarithmic Functions

Apply Exponent Properties Involving Quotients

Use properties of logarithms

Section 6.4 Properties of Logarithmic Functions Objectives:

Honors Precalculus October 17-18, 2016 Mrs. Agnew

Fractional Expressions

Honors Precalculus October 24, 2016 Mrs. Agnew

Properties of logarithms

Differentiation Rules (Constant, Power, Sum, Difference)

Honors Precalculus February 10, 2017 Mrs. Agnew

Exponential Functions

Honors Precalculus April 16, 2018 Mr. Agnew

Fractional Expressions

Simplifying Logarithms

5.5 Properties and Laws of Logarithms

Logarithmic Differentiation

Differentiation Rules (Part 2)

Honors Precalculus Mrs. Agnew

Honors Precalculus April 11-12, 2018 Mr. Agnew

Honors Precalculus Adv. January 17, 2018 Mr. Agnew

Trigonometric Formulas

Trigonometric Identities

Honors Precalculus October 24, 2017 Mr. Agnew

Simplifying Logarithms

Exponential and Logarithmic Equations

Composite & Inverse Functions

Honors Precalculus February 19-20, 2018 Mr. Agnew

AP Calculus October 2, 2014 Mr. Agnew

Trigonometric Identities

Exponential Functions

Honors Precalculus February 8-9, 2017 Mrs. Agnew

Exponents and radicals

Honors Precalculus October 25, 2016 Mrs. Agnew

Properties of Logarithms

Honors Precalculus Adv. January 13, 2017 Mrs. Agnew

4.5 Properties of Logarithms

Angle Sum and Difference Formulas

Solving Quadratic Equations by Factoring

Evaluating Expressions and Solving Equations

Angle Sum and Difference Formulas

Honors Precalculus March 22 – 27, 2018 Mr. Agnew

Honors Algebra II with Trigonometry Mr. Agnew

Presentation transcript:

Honors Precalculus October 31, 2016 Mrs. Agnew Laws of Logarithms Honors Precalculus October 31, 2016 Mrs. Agnew

Essential Stuff Essential Question Essential Vocabulary How do you simplify logarithmic expressions? Essential Vocabulary Logarithmic Function Laws of Logarithms Change of Base Formula

Properties of Logarithms Logarithm of One Same base and number: Logarithmic Exponent: These properties are also true for natural logarithms.

Laws of Logs: Product Rule The Product Rule for Logarithms Example

Laws of Logs: Quotient Rule The Quotient Rule for Logarithms Example

Laws of Logs: Power Rule The Power Rule for Logarithms Example

Practice and Homework Guided Practice Examples Homework: page 308 – 310 #38, 45 – 55 (Odd), 61 – 77 (Odd) p