Chapter 4 continued 4.3 Properties of Logarithms

Slides:

Advertisements

Similar presentations

Properties of Logarithms

Advertisements

Models of Exponential and Log Functions Properties of Logarithms Solving Exponential and Log Functions Exponential Growth and Decay

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

1. Use a property of logarithms to evaluate log Use log 5 ≈ and log 6 ≈ to approximate the value of log Expand ln 7 3 2x 4.

Exponential and Logarithmic Functions

Warm-up 1. Convert the following log & exponential equations 1. Convert the following log & exponential equations Log equationExponential Equation Log.

EQ: How do you use the properties of exponents and logarithms to solve equations?

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

Ch. 3.3 Properties of Logarithms

TODAY IN ALGEBRA 2.0…  REVIEW: 7.5 Expand and Condense LOGs  COMPLETE: HW #6  Learning Target: 7.6 You will solve exponential equations by changing.

Jeopardy 100 Condense Expand Simplify Solve Exponential Solve Logs 500.

Solving Exponential and Logarithmic Equations Section 6.6 beginning on page 334.

Unit 5: Modeling with Exponential & Logarithmic Functions Ms. C. Taylor.

8.5 – Using Properties of Logarithms. Product Property:

MAT 171 Precalculus Algebra T rigsted - Pilot Test Dr. Claude Moore - Cape Fear Community College CHAPTER 5: Exponential and Logarithmic Functions and.

6.5 - Properties of Logarithms Objective: TSW Apply the properties of logarithms.

Copyright © 2009 Pearson Education, Inc. CHAPTER 5: Exponential and Logarithmic Functions 5.1 Inverse Functions 5.2 Exponential Functions and Graphs 5.3.

5.5 Objectives Apply the base properties of logarithms. Use the change of base formula.

Logs Midterm Review Pre-Calculus. Topic 1: Be able to change logarithmic and exponential forms.

Unit 5: Logarithmic Functions

8.4 – Properties of Logarithms. Properties of Logarithms There are four basic properties of logarithms that we will be working with. For every case, the.

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Simplify and evaluate expressions involving logarithms. Solve equations involving.

Objectives: Be able to identify the properties of logarithms.

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

7-5 PROPERTIES OF LOGARITHMS Rolling them out and Wrapping them up.

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?

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 Change of Base Formula:.

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

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

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

Exponential and Logarithmic Functions By: Jeffrey Bivin Lake Zurich High School Last Updated: January 2, 2006.

Common Logarithms - Definition Example – Solve Exponential Equations using Logs.

Solving Logarithmic Equations

6-2: Properties of Logarithms Unit 6: Exponents/Logarithms English Casbarro.

Algebra 2 Notes May 4,  Graph the following equation:  What equation is that log function an inverse of? ◦ Step 1: Use a table to graph the exponential.

Unit 5: Logarithmic Functions Inverse of exponential functions. “log base 2 of 6” Ex 1: Domain: all real numbers Range: y > 0 “log base b of x” Domain:

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.

Review of Logarithms. Review of Inverse Functions Find the inverse function of f(x) = 3x – 4. Find the inverse function of f(x) = (x – 3) Steps.

+ Chapter 8 Exponential and 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.

Algebra Exponential and Logarithmic Equations and Inequalities.

Inverse, Exponential, and Logarithmic Functions

Logarithmic Functions and Their Graphs

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, =

Properties of logarithms

Exponential & Logarithmic Functions Chapter:___

CHAPTER 5: Exponential and Logarithmic Functions

4.1/4.2 – Exponential and Logarithmic Functions

Inverse, Exponential and Logarithmic Functions

3.4 Exponential and Logarithmic Equations

Worksheet Key 4/16/ :25 PM Common Logarithms.

Properties of Logarithmic Functions

Properties of logarithms

Logarithmic Functions

Using Properties of Logarithms

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

C2D8 Bellwork: Fill in the table Fill in the blanks on the worksheet

Nonlinear Functions and Models

U6D12 Have out: Bellwork: Fill in the table

Property #1 – Product Property log a (cd) =

Presentation transcript:

Chapter 4 continued 4.3 Properties of Logarithms 4.4 Exponential/Logarithmic Equations 4.5 Exponential Growth and Decay

4.3 Properties of Logarithms Obj: simplify logarithms by expanding and condensing Product Property Quotient Property Power Property 1 to 1 Property M=N

Practice Expand or condense the following logarithms.

Change of Base Formula Formula Practice

4.4 Solve Equations Obj: solve exponential and logarithmic equations Equal Bases Non-equal Bases

Log Equations Solve for x.

More Examples Solve for x.

4.5 Exponential Growth/Decay Applications Obj: set up and solve exponential and logarithmic equations Review Exponential Growth Exponential Decay

Review Applications Banking Compound Interest Continuously Compounding

Practice Find the time it takes for your money to triple at 8% if compounded monthly. General Form Find the exponential growth function if the population grew from 16,400 in 1990 to 20,200 in 2000.

Logistics Formula Find the logistic growth model of coyotes in a preserve if the population in 2002 was 200 and in 2004 was 250. The carrying capacity is estimated at 500.

Assignment 4.3 Page 477 5 – 35 by 5, 45 – 60 by 5, 104 4.5 page 504 1 – 21 eoo, 37