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

Slides:

Advertisements

Similar presentations

WARM - UP. SOLVING EXPONENTIAL & LOGARITHMIC FUNCTIONS SECTION 3.4.

Advertisements

WARM - UP. SOLVING EXPONENTIAL & LOGARITHMIC FUNCTIONS SECTION 3.4.

Objectives: 1.Be able to convert a logarithmic function into an exponential function. 2.Be able to convert an exponential function into a logarithmic function.

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”

Solving Equations with Logs Day 2. Solving equations with only one logarithm in it: If it is not base 10 and you can’t use your calculator, then the only.

Essential Questions: 1. How do I solve exponential functions? 2. How do I solve logarmithic functions?

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

Warm up. 3.4 Solving Exponential & Logarithmic Equations Standards 13, 14.

6.3A – Logarithms and Logarithmic Functions Objective: TSW evaluate logarithmic expressions.

Solving Exponential and Logarithmic Equations Section 8.6.

 If m & n are positive AND m = n, then  Can solve exponential equation by taking logarithm of each side of equation  Only works with base 10.

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?

6.4 – Solving Logarithmic Equations and Inequalities Objective: TSW solve logarithmic equations and inequalities.

8.3-4 – Logarithmic Functions. Logarithm Functions.

Solving Logarithmic Equations To solve today's equations, we are going to rewrite them in exponential form and use the methods learned in the last unit.

3.4 Solving Exponential and Logarithmic Equations.

Exponentials without Same Base and Change Base Rule.

Solving Logarithmic Equations

5.5Logarithms Objectives: I will be able to…  Rewrite equations between exponential and logarithmic forms  Evaluate logarithms  Solve logarithms.

Chapter 3 Exponential and Logarithmic Functions 1.

Do Now (7.4 Practice): Graph. Determine domain and range.

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

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

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.

5.5Logarithms. Objectives: I will be able to…  Rewrite equations between exponential and logarithmic forms  Evaluate logarithms  Solve logarithms Vocabulary:

6.2A – Solving Exponential Equations and Inequalities

Applications of Common Logarithms Objective: Define and use common logs to solve exponential and logarithmic equations; use the change of base formula.

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

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

Chapter 3 Exponential and Logarithmic Functions

Solving Logarithmic Equations

12.8 Exponential and Logarithmic Equations and Problem Solving Math, Statistics & Physics 1.

8.3 – Logarithmic Functions and Inverses. What is a logarithm? A logarithm is the power to which a number must be raised in order to get some other number.

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.

LEQ: How do you evaluate logarithms with a base b? Logarithms to Bases Other Than 10 Sec. 9-7.

LOGARITHMIC AND EXPONENTIAL EQUATIONS LOGARITHMIC AND EXPONENTIAL EQUATIONS SECTION 4.6.

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.

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.

Ch. 8.5 Exponential and Logarithmic Equations

Homework Check.

6.1 - Logarithmic Functions

Solving Exponential and Logarithmic Equations

Logarithmic Functions and Their Graphs

8-5 Exponential and Logarithmic Equations

8.6 Solving Exponential & Logarithmic Equations

Packet #15 Exponential and Logarithmic Equations

Logarithms and Logarithmic Functions

Logarithmic Functions

Logarithmic Functions and Their Graphs

Solving Exponential & logarithmic Equations

Exponential and Logarithmic Equations

5A.1 - Logarithmic Functions

Properties of Logarithmic Functions

Solve for x: log3x– log3(x2 – 8) = log38x

Homework Check.

3.4 Exponential and Logarithmic Equations

bell ringer How do you “convert”?

Homework Check.

Homework Check.

6.1 - Logarithmic Functions

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

7.4 Exponential & Logarithmic Equations

Unit 5 – Section 1 “Solving Logarithms/Exponentials with Common Bases”

Logarithmic Functions

Exponential Equations

Presentation transcript:

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

Change of base formula: The change of base formula allows us to change any logarithm into base 10. log b x = log x log b Example: log 8 12 =

To evaluate logarithms - Use the change of base formula to evaluate logarithms which are not base 10. Examples: 1.log log – log 3 7

Solving equations in exponential form: 1.Get the equation in the form “b y = x” 2.Rewrite the exponential equation in logarithmic form (be sure you do not have any negative numbers within the logarithm) 3.Use the change of base formula to evaluate the logarithm. 4.Solve for x.

Examples: 1.2 x = x = 240

Examples: 3. 2 x+1 = –2 -x = 39

Examples: 5. 5 x +12= x^2 = 110

Homework… pgs #’s 1-4(all), 6-8(all), (odds), 23-37(odds), 41-46(all)