 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.

Slides:

Advertisements

Similar presentations

Objectives Solve exponential and logarithmic equations and equalities.

Advertisements

Essential Question: What are some of the similarities and differences between natural and common logarithms.

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

Logarithm Jeopardy The number e Expand/ Condense LogarithmsSolving More Solving FINAL.

Sec 4.3 Laws of Logarithms Objective:

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”

6. 3 Logarithmic Functions Objectives: Write equivalent forms for exponential and logarithmic equations. Use the definitions of exponential and logarithmic.

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”

Notes 6.6, DATE___________

11.3 – Exponential and Logarithmic Equations. CHANGE OF BASE FORMULA Ex: Rewrite log 5 15 using the change of base formula.

8.5 – Exponential and Logarithmic Equations. CHANGE OF BASE FORMULA where M, b, and c are positive numbers and b, c do not equal one. Ex: Rewrite log.

Section 3.4 Exponential and Logarithmic Equations.

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.

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

Section 11-4 Logarithmic Functions. Vocabulary Logarithm – y is called this in the function Logarithmic Function – The inverse of the exponential function.

8.3-4 – Logarithmic Functions. Logarithm Functions.

Exponentials without Same Base and Change Base Rule.

Solving Logarithmic Equations

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

Log Introduction  Video  **** find*****. 8.3 Lesson Logarithmic Functions.

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

STUDENTS WILL BE ABLE TO: CONVERT BETWEEN EXPONENT AND LOG FORMS SOLVE LOG EQUATIONS OF FORM LOG B Y=X FOR B, Y, AND X LOGARITHMIC FUNCTIONS.

Section 6.5 – Properties of Logarithms. Write the following expressions as the sum or difference or both of logarithms.

Lesson 3.2 Read: Pages Handout 1-49 (ODD), 55, 59, 63, 68, (ODD)

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

A) b) c) d) Solving LOG Equations and Inequalities **SIMPLIFY all LOG Expressions** CASE #1: LOG on one side and VALUE on other Side Apply Exponential.

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

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

Converting between log form and exponential form.

Exponential and Logarithmic Equations

Property of Logarithms If x > 0, y > 0, a > 0, and a ≠ 1, then x = y if and only if log a x = log a y.

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.

Properties of Logarithms and Common Logarithms Sec 10.3 & 10.4 pg

Focus: 1. Recognize and evaluate logarithmic functions. Use logarithmic functions to solve problems.

S OLVING E XPONENTIAL AND LOGARITHMIC E QUATIONS Unit 3C Day 5.

Goals:  Understand logarithms as the inverse of exponents  Convert between exponential and logarithmic forms  Evaluate logarithmic functions.

6.5 Applications of Common Logarithms Objectives: Define and use the common logarithmic function to solve exponential and logarithmic equations. Evaluate.

Logarithmic Functions

8.5 – Exponential and Logarithmic Equations

Ch. 8.5 Exponential and Logarithmic Equations

8-5 Exponential and Logarithmic Equations

6.1 - Logarithmic Functions

8.5 – Exponential and Logarithmic Equations

You are a winner on a TV show. Which prize would you choose? Explain.

Logarithmic Functions and Their Graphs

Logarithmic Functions

8-5 Exponential and Logarithmic Equations

Examples Solving Exponential Equations

6.5 Applications of Common Logarithms

8.6 Solving Exponential & Logarithmic Equations

Unit 8 [7-3 in text] Logarithmic Functions

5.4 Logarithmic Functions and Models

Logarithmic Functions

5.5 Properties of Logarithms (1 of 3)

5A.1 - Logarithmic Functions

Warmup Solve 256

Review Lesson 7.6 COMMON LOGARITHMS by Tiffany Chu, period 3.

Warmup Solve log log5 x = log5 48..

3.4 Exponential and Logarithmic Equations

Section 4.7 Laws of Logarithms.

6.1 - Logarithmic Functions

Warmup Solve log log5 x = log5 48..

Warmup Solve 2x – 4 = 14. Round to the nearest ten-thousandth. Show all logarithmic work.

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

Logarithmic Functions

8.5 Exponential and Logarithmic Equations

Presentation transcript:

 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

 Solve each equation. Round to the nearest ten- thousandth.

 Use to evaluate logarithm with any base  For an and y positive numbers M, b, & c, with and

 Use the change of base formula to evaluate and then convert to the different base log.

 Can use change of base formula  Take logarithm of each side using the base of exponent as base for logarithm  Use change of base formula

 Use change of base formula to solve.

 Can solve exponential equations by graphing  Use calculator and 2 equations (one for each side of =)  Find intersection

 Solve by graphing

 Contain a logarithmic expression  Solve  HW: p #2-40even, skip 32, 50-52, even, 80-96even