7.4 Exponential & Logarithmic Equations

Slides:

Advertisements

Similar presentations

15.4, 5 Solving Logarithmic Equations OBJ:  To solve a logarithmic equation.

Advertisements

Logarithmic Equations Unknown Exponents Unknown Number Solving Logarithmic Equations Natural Logarithms.

Warm-Up. One way to solve exponential equations is to use the property that if 2 powers w/ the same base are equal, then their exponents are equal. For.

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

CH. 8.6 Natural Logarithms. Write 2 ln 12 – ln 9 as a single natural logarithm. 2 ln 12 – ln 9 = ln 12 2 – ln 9Power Property = lnQuotient Property 12.

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

5.4 Exponential and Logarithmic Equations Essential Questions: How do we solve exponential and logarithmic equations?

7.6 – Solve Exponential and Log Equations

Example 6 Solution of Exponential Equations Chapter 5.3 Solve the following exponential equations: a. b.  2009 PBLPathways.

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.

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

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.

8.6 Solving Exponential and Logarithmic Equations Goal: Solve exponential and logarithmic equations. Correct WS 8.5A.

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

Academy Algebra II/Trig 6.6: Solve Exponential and Logarithmic Equations Unit 8 Test ( ): Friday 3/22.

 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.

Chapter Exponential and logarithmic equations.

8.5 – Using Properties of Logarithms. Product Property:

Natural Logarithms.

8.3-4 – Logarithmic Functions. Logarithm Functions.

3.4 Solving Exponential and Logarithmic Equations.

Solving Logarithmic Equations

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?

SOLVING LOGARITHMIC EQUATIONS Objective: solve equations with a “log” in them using properties of logarithms How are log properties use to solve for unknown.

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

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

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

Solving Logarithmic Equations

TODAY IN ALGEBRA 2.0…  REVIEW: Solving Exponential Equations  Learning Target 1: 7.6 You will solve exponential equations by using logarithms  Independent.

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

Logarithmic Functions. Examples Properties Examples.

4.7 (Green) Solve Exponential and Logarithmic Equations No School: Monday Logarithms Test: 1/21/10 (Thursday)

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

Warm – up #4. Homework Log Fri 2/5 Lesson 6 – 4 Learning Objective: To solve log and exponential equation Hw: #605 Pg. 369 #1 – 49 odd.

Solving Equations Exponential Logarithmic Applications.

4.4 Exponential and Logarithmic Equations. Solve: 2 x = 7 3 x+3 = 5.

Aim: What are the properties of logarithms? Do Now: Rewrite the following exponential form into log form 1.b x = A 2.b y = B HW:p.331 # 16,18,20,22,24,26,28,38,40,42,48,52.

LOGARITHMIC AND EXPONENTIAL EQUATIONS LOGARITHMIC AND EXPONENTIAL EQUATIONS SECTION 4.6.

Collins Type I What assumption(s) do you make about a population’s growth when you make predictions by using an exponential expression?

Ch. 8.5 Exponential and Logarithmic Equations

Solving Exponential and Logarithmic Equations

PROPERTIES OF LOGARITHMS

Logarithmic Functions and Their Graphs

8-5 Exponential and Logarithmic Equations

6.5 Applications of Common Logarithms

Logs – Solve USING EXPONENTIATION

8.6 Solving Exponential & Logarithmic Equations

Get out your 7.3 Notes Packets

Packet #15 Exponential and Logarithmic Equations

5.4 Logarithmic Functions and Models

Logarithms and Logarithmic Functions

Essential Question: How do I graph & solve exponential and logarithmic functions? Daily Question: What are the properties of logarithms and how do I use.

Solving Exponential & logarithmic Equations

Logarithmic and exponential equations

Logarithmic and Exponential Equations

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

Exponential and Logarithmic Forms

Logarithmic and Exponential Equations

Logarithmic Functions

3.4 Exponential and Logarithmic Equations

Topics are: Solving exponential equations

Solving Logarithmic Equations

Homework Check.

Section 4 – Logarithmic Functions

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

Logarithmic and exponential equations

Presentation transcript:

7.4 Exponential & Logarithmic Equations

7.4 Notes Strategy for solving exponential equations: Take the appropriate log of each side. Example: e2x = 10 You would take the natural log of each side. Strategy for solving logarithmic equations: - Rewrite as a exponential equation. Example: log24x = 3 would become 23 = 4x and we would solve this equation.

We will also use these properties:

Example 1

Example 2

Example 3

Example 4

Chapter 7 Test is Monday 2/25 Homework & Test Date Hw: 7.4 Assign. (skip: 27, 55, 77, 97 and 105) Bonus Problems (handed in with all work included): #109, 123 and 127 Chapter 7 Test is Monday 2/25