Presentation is loading. Please wait.

Presentation is loading. Please wait.

Introduction to Logarithmic Functions: How to write in Logarithmic form and Evaluate Logs MHF4UI Wednesday October 17 th, 2012.

Published byAngela Wiggins Modified over 9 years ago

Similar presentations

Presentation on theme: "Introduction to Logarithmic Functions: How to write in Logarithmic form and Evaluate Logs MHF4UI Wednesday October 17 th, 2012."— Presentation transcript:

1 Introduction to Logarithmic Functions: How to write in Logarithmic form and Evaluate Logs MHF4UI Wednesday October 17 th, 2012

2 Logarithms will help us solve problems that have exponential relationships

3 A Logarithmic Function is the Inverse of an Exponential Function

4 The Logarithmic Function

5 How do I write an Exponential Function in Logarithmic Notation? “Raised to” “Gives us”

6 What kind of questions can I expect?

7 The Common Logarithm

8 You must also know how to Approximate Logarithms EstimateCheckAnalysis 2.5 Very close but too high 2.4Must lie very close to 2.5 2.47Almost there…. 2.465BINGO!!

9 Homework Questions:  Complete the Logarithmic Functions Handout

Download ppt "Introduction to Logarithmic Functions: How to write in Logarithmic form and Evaluate Logs MHF4UI Wednesday October 17 th, 2012."

Similar presentations

Properties of Logarithmic Functions

Properties of Logarithmic Functions
Properties of Logarithms

Properties of Logarithms
WARM - UP. SOLVING EXPONENTIAL & LOGARITHMIC FUNCTIONS SECTION 3.4.

WARM - UP. SOLVING EXPONENTIAL & LOGARITHMIC FUNCTIONS SECTION 3.4.
Aim: How do we solve exponential and logarithmic equations ? Do Now: Solve each equation: a. log 10 x 2 = 6 b. ln x = –3 Homework: Handout.

Aim: How do we solve exponential and logarithmic equations ? Do Now: Solve each equation: a. log 10 x 2 = 6 b. ln x = –3 Homework: Handout.
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”

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”
Logarithms.

Logarithms.
Recall: These are equations of the form y=ab x-h +k, ones where the ‘x’ is in the exponent Recall: These are equations of the form y=ab x-h +k, ones where.

Recall: These are equations of the form y=ab x-h +k, ones where the ‘x’ is in the exponent Recall: These are equations of the form y=ab x-h +k, ones where.
6.6 – Solving Exponential Equations Using Common Logarithms. Objective: TSW solve exponential equations and use the change of base formula.

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!

LAWS OF LOGARITHMS SECTION 5.6. Why do we need the Laws? To condense and expand logarithms: To Simplify!
Section 4.1 Logarithms and their Properties. Suppose you have $100 in an account paying 5% compounded annually. –Create an equation for the balance B.

Section 4.1 Logarithms and their Properties. Suppose you have $100 in an account paying 5% compounded annually. –Create an equation for the balance B.
Unit 5: Modeling with Exponential & Logarithmic Functions Ms. C. Taylor.

Unit 5: Modeling with Exponential & Logarithmic Functions Ms. C. Taylor.
Turn in your Quiz!!! Complete the following:. Section 11-5: Common Logarithms The questions are… What is a common log? How do I evaluate common logs?

Turn in your Quiz!!! Complete the following:. Section 11-5: Common Logarithms The questions are… What is a common log? How do I evaluate common logs?
Section 11-4 Logarithmic Functions. Vocabulary Logarithm – y is called this in the function Logarithmic Function – The inverse of the exponential function.

Section 11-4 Logarithmic Functions. Vocabulary Logarithm – y is called this in the function Logarithmic Function – The inverse of the exponential function.
4.8 Solve Exponential and Logarithmic Inequalities Test 2 Unit 4 over 4.6-4.9 on Wednesday 2/16/2011.

4.8 Solve Exponential and Logarithmic Inequalities Test 2 Unit 4 over on Wednesday 2/16/2011.
8.3-4 – Logarithmic Functions. Logarithm Functions.

8.3-4 – Logarithmic Functions. Logarithm Functions.
5.5Logarithms Objectives: I will be able to…  Rewrite equations between exponential and logarithmic forms  Evaluate logarithms  Solve logarithms.

5.5Logarithms Objectives: I will be able to…  Rewrite equations between exponential and logarithmic forms  Evaluate logarithms  Solve logarithms.
Puzzle Take a guess at what these statements are saying: power 2 (8) = 3 power 2 (32) = 5 power 3 (9) = 2 power 3 (81) = 4 power 5 (25) = 2 Now see if.

Puzzle Take a guess at what these statements are saying: power 2 (8) = 3 power 2 (32) = 5 power 3 (9) = 2 power 3 (81) = 4 power 5 (25) = 2 Now see if.
Section 9.3 Logarithmic Functions  Graphs of Logarithmic Functions Log 2 x  Equivalent Equations  Solving Certain Logarithmic Equations 9.31.

Section 9.3 Logarithmic Functions  Graphs of Logarithmic Functions Log 2 x  Equivalent Equations  Solving Certain Logarithmic Equations 9.31.
Logarithms 2.5 Chapter 2 Exponents and Logarithms 2.5.1

Logarithms 2.5 Chapter 2 Exponents and Logarithms 2.5.1
Unit 5: Properties of Logarithms MEMORIZE THEM!!! Exponential Reasoning [1] [2] [3] [4] Cannot take logs of negative number [3b]

Unit 5: Properties of Logarithms MEMORIZE THEM!!! Exponential Reasoning [1] [2] [3] [4] Cannot take logs of negative number [3b]

Similar presentations

Ads by Google