GET READY-MATH UNIT WIKI. Wiki SOLVING EXPONENTIAL AND LOGARITHMIC EQUATIONS.

Slides:

Advertisements

Similar presentations

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.

Advertisements

Exponential and Logarithmic Equations Section 3.4.

Table of Contents Solving Logarithmic Equations A logarithmic equation is an equation with an expression that contains the log of a variable expression.

Continuing with Operation-Inverse Pairs Copyright 2014 Scott Storla.

7.7 Day 1 Notes Base e and Natural Logarithms

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

1. Use a property of logarithms to evaluate log Use log 5 ≈ and log 6 ≈ to approximate the value of log Expand ln 7 3 2x 4.

7-5 Logarithmic & Exponential Equations

E XPONENTIAL AND LOGARITHMIC EQUATIONS Section 3.4.

7.6 – Solve Exponential and Log Equations

College Algebra Notes 4.3: Laws of Logarithms

Exponential and Logarithmic Functions

Copyright © Cengage Learning. All rights reserved. 3 Exponential and Logarithmic Functions.

3 Exponential and Logarithmic Functions

8 – 6 Solving Exponential and Logarithmic Equations Day2 Objective: CA. 11.1: Students understand the inverse relationship between exponents and logarithms.

2. Condense: ½ ln4 + 2 (ln6-ln2)

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.

Jeopardy 100 Condense Expand Simplify Solve Exponential Solve Logs 500.

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

Solving Exponential and Logarithmic Equations Section 8.6.

Solving Quadratic Equations by Factoring. Solution by factoring Example 1 Find the roots of each quadratic by factoring. factoring a) x² − 3x + 2 b) x².

More Exponential and Logarithmic Equations We’re right in with more practice problems in Sec. 3.5b.

3.4 Solving Exponential and Logarithmic Equations.

3.4 Exponential and Logarithmic Equations Students will solve simple and more complicated exponential and logarithmic equations. Students will use exponential.

Unit 7 Quadratics Radical Equations Goal: I can solve simple radical equations in one variable (A-REI.2)

Pg. 301/308/311 Homework Study #8right 2; x = 2#10reflect y; right 5; x = 5 #12right 4/3; up log 2 3; x = 4/3#14reflect x; left 3; down 2; x = -3 #16D:

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

Solving One Step Equations Notes and Practice Problems.

Logarithmic Functions Recall that for a > 0, the exponential function f(x) = a x is one-to-one. This means that the inverse function exists, and we call.

Lesson 1-8 Solving Addition and Subtraction Equations.

Solving Radical Equations Chapter 7.6. What is a Radical Equation? A Radical Equation is an equation that has a variable in a radicand or has a variable.

Get radical alone. 5 Tues 1/12 Lesson 6 – 5 Learning Objective: To solve radical equations Hw: Lesson 6 – 5 WS 2.

Mon 1/11 Lesson 6 – 5 Learning Objective: To solve square root equations Hw: Lesson 6 – 5 WS 1.

Exponential and Logarithmic Equations

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

Daily Warm-UP Quiz 1.Expand: ln x -5 y 2 2x 2. Condense: ½ ln4 + 2 (ln6-ln2) 3. Use properties of logs to solve for x: a. log 81 = x log3 b. log x 8/64.

Lesson 10.5Base e and Natural Logs (ln) Natural Base (e): Natural Base Exponential Function: ( inverse of ln ) Natural Logarithm (ln): ( inverse of e )

Solving Logarithmic Functions Math 3 Standard MM3A2.

Copyright © Cengage Learning. All rights reserved. Pre-Calculus Honors 3.4: Solving Exponential and Logarithmic Equations Chapter 3 Test: Tues 12/15 and.

4.3 Notes : Solving Radical Equations A radical equation is an equation that contains a variable under a radical symbol The parent radical function is.

7.5a Solving Radical Equations. Radical Equations To solve a radical equation 1.Isolate the radical completely 2.Raise both sides to the power of the.

x + 5 = 105x = 10  x = (  x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10  25 = 5 10 = = 10 5 = 5.

3.4 – Solving Exponential and Logarithmic Equations Ch. 3 – Exponential and Logarithmic Functions.

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

3.4 Solving Exponential and Logarithmic Equations.

Warm Up Solve 9 2x = – Base e and Natural Logarithms.

Find the solution of the exponential equation, correct to four decimal places. e x =

Logarithmic Functions and Their Graphs

8.6 Solving Exponential & Logarithmic Equations

7.5 Exponential and Logarithmic Equations

Logarithmic and exponential equations

Solving Radical Equations

Section 5.5 Additional Popper 34: Choice A for #1 – 10

Logarithmic and Exponential Equations

Exponential and Logarithmic Functions

Logarithmic and Exponential Equations

SECTION 10-4 : RADICAL EQUATIONS

3.4 Exponential and Logarithmic Equations

Solving 1-Step Integer Equations

Solving Radical Equations

Solving a Radical Equation

Solving Equations with Variables on Both Sides

Solving Logarithmic Equations

Exponential and Logarithmic Functions

Section 5.5 Additional Popper 34: Choice A for #1 – 10

Section 5.5 Additional Popper 34: Choice A for #1 – 10

Logarithmic and exponential equations

11-5 Solving Rational Equations

Equations Involving Absolute Value

Presentation transcript:

GET READY-MATH UNIT WIKI

Wiki SOLVING EXPONENTIAL AND LOGARITHMIC EQUATIONS

We need to make each side of the equation have the same base. SOLVING SIMPLE EXPONENTIAL AND LOGARITHMIC EQUATIONS

The inverse of an exponential equation is a logarithm. We will use logarithms to undo exponential equations. SOLVING EXPONENTIAL EQUATIONS

SOLVE AN EXPONENTIAL EQUATION

EXPONENTIAL IN QUADRATIC FORM Answers: X=0 and X≈.693

SOLVING A LOGARITHMIC EQUATION Now you need to make sure the solutions are not extraneous! Plug them in to check!!

 You deposited $500 in an account that pays 6.75 interest compounded continuously. How long will it take for you to double your money? A=PERT A=$1000 P=$500 R=.0675 T=? A=$1000 P=$500 R=.0675 T=?