4.5 Properties of Logarithms

Slides:

Advertisements

Similar presentations

Properties of Logarithmic Functions

Advertisements

Section 5.4 – Properties of Logarithms. Simplify:

Unit 11: Logarithms, day 3 3 properties to Expand and Condense Logarithmic Expressions.

1 6.5 Properties of Logarithms In this section, we will study the following topics: Using the properties of logarithms to evaluate log expressions Using.

8/2/2013 Logarithms 1 = 2 log a x Properties of Logarithms Examples 1. log a x 2 = log a (x x) Coincidence ? log b x r = r log b x Power Rule for Logarithms.

3.3 Properties of Logarithms Change of Base. When solve for x and the base is not 10 or e. We have changed the base from b to 10. WE can change it to.

Questions over 4.6 HW???. 4.7 (Green) Solve Exponential and Logarithmic Equations No School: Monday Logarithms Test: 1/21/10 (Thursday)

Quiz Properties of Logarithms Date: ____________.

6.6 – Solving Exponential Equations Using Common Logarithms. Objective: TSW solve exponential equations and use the change of base formula.

LAWS OF LOGARITHMS SECTION 5.6. Why do we need the Laws? To condense and expand logarithms: To Simplify!

Ch. 3.3 Properties of Logarithms

Solving Exponential and Logarithmic Equations Section 8.6.

Sullivan Algebra and Trigonometry: Section 6.5 Properties of Logarithms Objectives of this Section Work With the Properties of Logarithms Write a Log Expression.

Sec 4.1 Exponential Functions Objectives: To define exponential functions. To understand how to graph exponential functions.

Sullivan Algebra and Trigonometry: Section 6.4 Objectives of this Section Work With the Properties of Logarithms Write a Log Expression as a Sum or Difference.

Chapter 3 Exponential and Logarithmic Functions 1.

Lesson 2-2 Example Use the Commutative and/or Associative Properties to find the sum mentally Step 1 Look for two numbers whose sum is.

Table of Contents Logarithm Properties - Product Rule The Product Rule for logarithms states that... read as “the log of the product is the sum of the.

PRE-AP PRE-CALCULUS CHAPTER 3, SECTION 3 LOGARITHMIC FUNCTIONS AND THEIR GRAPHS

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

5.3 Intro to Logarithms 2/27/2013. Definition of a Logarithmic Function For y > 0 and b > 0, b ≠ 1, log b y = x if and only if b x = y Note: Logarithmic.

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

5.4 Properties of Logarithms 3/1/2013

STANDARD: STUDENTS SHOULD BE ABLE TO USE DERIVATIVES TO SOLVE A VARIETY OF PROBLEMS OBJECTIVE: DERIVE AND APPLY THE DERIVATIVE OF A LOGARITHM Agenda:

Section 6.5 – Properties of Logarithms. Write the following expressions as the sum or difference or both of logarithms.

10.1/10.2 Logarithms and Functions

3.3 Properties of Logarithms Students will rewrite logarithms with different bases. Students will use properties of logarithms to evaluate or rewrite logarithmic.

Properties of Logarithms. Basic Properties All logarithmic functions have certain properties. The basic properties are:

Precalculus – Section 3.3. How can you use your calculator to find the logarithm of any base?

3.3 Day 2 Condensing Logarithmic Expressions The Change of Base Property Pg. 408 # even, even.

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.

WARM - UP Evaluate: log 3 81 Solve for x: log5 (2x+3) = log5 (4x -3)

Chapter 3 Exponential and Logarithmic Functions

Solving Logarithmic Equations

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.

Logarithmic Properties Exponential Function y = b x Logarithmic Function x = b y y = log b x Exponential Form Logarithmic Form.

Section 7-5 Properties of Logarithms Objectives I can evaluate Common Logs using a calculator I can use Change Base Rule I can expand log expressions.

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.

8-5: Properties of Logarithms (Day 1) Objective: Be able to use the properties of logarithms.

Properties of logarithms. Properties of Logarithms Let b, u, and v be positive numbers such that b≠1. Product property: log b uv = log b u + log b v Quotient.

8.5 Properties of Logarithms 3/21/2014. Properties of Logarithms Let m and n be positive numbers and b ≠ 1, Product Property Quotient Property Power Property.

Lesson 3.3 Read: Pages Handout #1-49 (ODD), (EOO), (ODD), (EOO)

PreCalculus 3-3 Properties of L0garithms. Properties of Logarithms.

Warm Up 2. (3 –2 )(3 5 ) (2 6 )(2 8 ) (7 3 ) Simplify. Write in exponential form. x 0 = 1x 1 = x.

Logarithmic Functions

Derivatives of Logarithmic Functions

Lesson 10.3 Properties of Logarithms

Use properties of logarithms

Properties of logarithms

Homework Questions?.

Derivatives of Logarithmic Functions

Logarithms and Logarithmic Functions

5.5 Properties and Laws of Logarithms

Solving Exponential & logarithmic Equations

Honors Precalculus October 24, 2017 Mr. Agnew

Properties of Logarithmic Functions

Natural Logarithms - Integration

Natural Logarithms - Differentiation

Warm-Up: Evaluate the logarithms

bell ringer How do you “convert”?

Honors Precalculus October 31, 2016 Mrs. Agnew

Properties of Logarithmic Functions

Properties of logarithms

6.3 Logarithmic Functions

Solve the equations. 4 2

Properties of Logarithms

Presentation transcript:

4.5 Properties of Logarithms

Properties of Logarithms log6 2 + log6 3 log4 32 – log4 2 log5 √5

Using Properties of Logarithms Write the following expression as a sum and/or difference of logarithms. Express all powers as factors.

Using Properties of Logarithms Write the following expression as a sum and/or difference of logarithms. Express all powers as factors.

Using Properties of Logarithms Write the following expression as a sum and/or difference of logarithms. Express all powers as factors.

4.5 Properties of Logarithms Homework: p.308 #31 – 49 Odd