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

Slides:

Advertisements

Similar presentations

Objectives Solve exponential and logarithmic equations and equalities.

Advertisements

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.

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

6.7 – Base “e” and Natural Logarithms

7-5 Logarithmic & Exponential Equations

Section 3.4. Solving Exponential Equations Get your bases alike on each side of the equation If the variable is in the exponent set the exponents equal.

7.6 – Solve Exponential and Log Equations

Logarithmic Functions y = log a x, is read “the logarithm, base a, of x,” or “log, base a, of x,” means “the exponent to which we raise a to get x.”

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

Objectives Solve exponential and logarithmic equations and equalities.

Logarithmic and Exponential Equations

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.

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

Algebra II w/trig. A logarithm is another way to write an exponential. A log is the inverse of an exponential. Definition of Log function: The logarithmic.

Day 42: November 5 th Objective: Apply strategies for finding inverses to parent graph equations. Begin to think of the inverse function for y=3 x. THEN.

4.4 Solving Exponential and Logarithmic Equations.

How do I solve exponential equations and inequalities?

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

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

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

Solving Exponential and Logarithmic Equations Section 8.6.

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

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

4.8 Solve Exponential and Logarithmic Inequalities Test 2 Unit 4 over on Wednesday 2/16/2011.

4.8 Solve Exponential and Logarithmic Inequalities

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

Solving Exponential Inequalities

Inequalities Symbols and line graphs. Symbols  < is less than  > is greater than  < is less than or equal to  > is greater than or equal to points.

10.2 Logarithms and Logarithmic Functions Objectives: 1.Evaluate logarithmic expressions. 2.Solve logarithmic equations and inequalities.

Logarithms 1 Converting from Logarithmic Form to Exponential Form and Back 2 Solving Logarithmic Equations & Inequalities 3 Practice Problems.

Agenda Lesson: Solving Multi-Step Inequalities Homework Time.

Solving Exponential Equations. We can solve exponential equations using logarithms. By converting to a logarithm, we can move the variable from the exponent.

Properties of Logarithms Change of Base Formula:.

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

Graphing Log Functions Pre-Calculus. Graphing Logarithms Objectives:  Make connections between log functions and exponential functions  Construct a.

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

Solving Logarithmic Equations

Converting between log form and exponential form.

Exponential and Logarithmic Equations

Log/Exponential Conversion Practice. Rewrite as a logarithmic equation: log = The log is the exponent! 4 The base of the exponent is the base of the log.

Topic 10 : Exponential and Logarithmic Functions Solving Exponential and Logarithmic Equations.

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

3.4 Solving Exponential and Logarithmic Equations.

10.2 Logarithms and Logarithmic functions. Graphs of a Logarithmic function verse Exponential functions In RED y = 10 x.

LOGARITHMIC FUNCTIONS. LOG FUNCTIONS Exact Values Find the exact value of log 3 81 log 3 81 = x 3 x = 81 3 x = 3 4 x = 4 1.Set the equation equal to.

10.2 Logarithms & Logarithmic Functions

5.8 Radical Equations and Inequalities

Ch. 8.5 Exponential and Logarithmic Equations

6.1 - Logarithmic Functions

Solving Exponential and Logarithmic Equations

8.6 Solving Exponential & Logarithmic Equations

Get out your 7.3 Notes Packets

5.6 Solving Exponential and Logarithmic Equations

7.5 Exponential and Logarithmic Equations

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

7.6 Solve Exponential and Logarithmic Equations

5A.1 - Logarithmic Functions

Logarithmic and Exponential Equations

Logarithmic and Exponential Equations

Keeper #39 Solving Logarithmic Equations and Inequalities

Algebra 2 Warmup.

Solving Logarithmic Equations

Properties of Logarithms

6.1 - Logarithmic Functions

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

Logarithmic Functions

Exponential Equations

Presentation transcript:

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

Logarithmic equation – an equation that contains one or more logarithm. REMEMBER… REMEMBER… For x > 0 and b > 0, and b = 1 So…x and b MUST be positive and b can never equal 1 (this is why we have asymptotes in our graphs) Logarithmic form: y = log b x Exponential Form: b y = x.

To Solve a Logarithm with Only ONE log…. 1. Rewrite the logarithm 2. Break down each side so bases are equal 3. Solve for the exponent. 4. Check Solution to be sure the number within the log is positive. To Solve a Logarithm with a log on each side… 1. Make sure the log and the base are IDENTICAL. 2. If the logs are identical, then the numbers within in the log are identical so set them equal. 3. Solve for x…YOU MAY HAVE TO FACTOR! 4. Check Solution to be sure x is positive!

Examples: Solve Each Equation 1.2.

3.4.

5. 6.

Examples…Solve Each Equation 7.

Examples…Solve Each Equation 8.

Examples…Solve Each Equation 9.

Homework! pgs #’s 1-17(odds), 23-29(odds), (odds)