7.5 NOTES – APPLY PROPERTIES OF LOGS. Condensed formExpanded form Product Property Quotient Property Power Property.

Slides:

Advertisements

Similar presentations

Warm Up: Simplify the Expression. Then State briefly how to simplify the exponents

Advertisements

Laws (Properties) of Logarithms

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.

Properties of Logarithms

Copyright © Cengage Learning. All rights reserved. 3 Exponential and Logarithmic Functions.

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.

8-4 Properties of Logarithms Use the change of base formula to rewrite and evaluate logs Use properties of logs to evaluate or rewrite log expressions.

Logarithm Jeopardy The number e Expand/ Condense LogarithmsSolving More Solving FINAL.

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”

8.5 Properties of logarithms

Properties of Logarithms. The Product Rule Let b, M, and N be positive real numbers with b  1. log b (MN) = log b M + log b N The logarithm of a product.

Quiz Properties of Logarithms Date: ____________.

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

CONVERTING FROM ONE FORM TO ANOTHER EVALUATING PROPERTIES OF LOGS – EXPANDING AND CONDENSING Day 1:

Properties of Logarithms Section 3.3. Properties of Logarithms What logs can we find using our calculators? ◦ Common logarithm ◦ Natural logarithm Although.

4.5 Apply Properties of Logarithms p. 259 What are the three properties of logs? How do you expand a log? Why? How do you condense a log?

Explain the log 1 = ? Don’t forget that…… Algebra 2: Section 8.5 Properties of Logarithms.

Properties of Logarithms Section 3. Objectives Work with the properties of logarithms Write a logarithmic expression as a sum or difference of logarithms.

Chapter 3 Exponential and Logarithmic Functions 1.

8.5 Properties of Logarithms Objectives: 1.Compare & recall the properties of exponents 2.Deduce the properties of logarithms from/by comparing the properties.

Copyright © 2011 Pearson, Inc. 3.4 Properties of Logarithmic Functions.

Notes Over 8.5 Properties of Logarithms Product Property Quotient Property Power Property.

5.3 Properties of Logarithms

EXPANDING AND CONDENSING LOGARITHMS PROPERTIES OF LOGARITHMS Product Property: Quotient Property: Power Property: PROPERTIES OF LOGARITHMS.

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

You’ve gotten good at solving exponential equations with logs… … but how would you handle something like this?

3.4 Properties of Logarithmic Functions

5.4 Properties of Logarithms 3/1/2013

Chapter 4 Exponential and Logarithmic Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Properties of Logarithms.

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 Change of Base Formula:.

Chapter 4 Exponential and Logarithmic Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Properties of Logarithms.

Chapter 4 Exponential and Logarithmic Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Properties of Logarithms.

5.3 Properties of Logarithms

Do Now: 7.4 Review Evaluate the logarithm. Evaluate the logarithm. Simplify the expression. Simplify the expression. Find the inverse of the function.

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

3.3 Properties of Logarithms Change of base formula log a x =or.

Properties of Logarithms

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

Essential Question: How do you use the change of base formula? How do you use the properties of logarithms to expand and condense an expression? Students.

Chapter 3 Exponential and Logarithmic Functions

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.

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.

Expanding and Condensing Logarithms Product Property.

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.

Properties of Logarithms 3 properties to Expand and Condense Logarithmic Expressions; 1 formula to Change the Base Monday, February 8, 2016.

Table of Contents Logarithm Properties - Quotient Rule The Quotient Rule for logarithms states that... read as “the log of the quotient is the difference.

LOGARITHMIC AND EXPONENTIAL EQUATIONS Intro to logarithms and solving exponential equations.

Ch. 3 – Exponential and Logarithmic Functions

Properties of Logarithms

Evaluate Logarithms Chapter 4.5.

Use properties of logarithms

22. $5,000e(0.069)(5) = $7, $20,000e(0.0375)(2) = $21, $2,000e(0.051)(3) = $2, $950e(0.06)(10) = $1, =

8.5 Properties of logarithms

7.5 – Properties of Logarithms

Homework Questions?.

Properties of Logarithmic Functions

7.5 Apply Properties of Logarithms

Warm-Up: Evaluate the logarithms

4.4 Properties of Logarithms

Properties of logarithms

Change-of-Base Property

Properties of Logarithms

Using Properties of Logarithms

4.6 Apply Properties of Logarithms

Warm-up: Solve for x: CW: Practice Log Quiz HW: QUIZ Review 3.1 – 3.4.

7.5 Apply Properties of logarithms

Presentation transcript:

7.5 NOTES – APPLY PROPERTIES OF LOGS

Condensed formExpanded form Product Property Quotient Property Power Property

Expand. 1.

Expand. 2.

Expand. 3.

Expand. 4.

Condense. 5.  1.099

Condense. 6.

Condense. 7.

Use log 6 5  and log 6 8  to evaluate the logarithm – –0.263

Use log 6 5  and log 6 8  to evaluate the logarithm

Use log 6 5  and log 6 8  to evaluate the logarithm (0.898) 2.694

Change-of-base formula

Use the change-of-base formula to evaluate the logarithm. 11. log 5 8  1.292

Use the change-of-base formula to evaluate the logarithm. 12. log 8 14  1.269

Use the change-of-base formula to evaluate the logarithm log 30  7.386

Use the change-of-base formula to evaluate the logarithm ln 9  4.394