 To simplify expressions containing positive integral exponents.  To solve exponential equations.

Slides:

Advertisements

Similar presentations

© 2007 by S - Squared, Inc. All Rights Reserved.

Advertisements

Homework Read pages 304 – 309 Page 310: 1, 6, 8, 9, 15, 28-31, 65, 66, 67, 69, 70, 71, 75, 89, 90, 92, 95, 102, 103, 127.

Homework Read pages 304 – 309 Page 310: 1, 6, 8, 9, 15, 17, 23-26, 28-31, 44, 51, 52, 57, 58, 65, 66, 67, 69, 70, 71, 75, 77, 79, 81, 84, 86, 89, 90, 92,

What are the rules of integral exponents?

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”

Exponents and Scientific Notation Evaluate exponential forms with integer exponents. 2.Write scientific notation in standard form. 3.Write standard.

Solving Exponential Equations

7.1/7.2 Nth Roots and Rational Exponents

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”

Equality and Inequality Meeting 4. Equations An equation is a statement that two mathematical expressions are equal. The values of the unknown that make.

Section 11-1: Properties of Exponents Property of Negatives:

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

1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 9-1 Exponential and Logarithmic Functions Chapter 9.

Power of a Product and Power of a Quotient Let a and b represent real numbers and m represent a positive integer. Power of a Product Property Power of.

Exponent Rules and Dividing Polynomials Divide exponential forms with the same base. 2.Divide numbers in scientific notation. 3. Divide monomials.

Exponents. Review: Evaluate each expression: 1.3 ³ 2.7¹ 3.-6² 4.(⅜)³ 5.(-6)² 6.3· 2³ Answers /

Lesson 5.2. You will need to rewrite a mathematical expression in a different form to make the expression easier to understand or an equation easier to.

Exponent Rules and Multiplying Monomials Multiply monomials. 2.Multiply numbers in scientific notation. 3.Simplify a monomial raised to a power.

Chapter 5: Exponential and Logarithmic Functions 5.5: Properties and Laws of Logarithms Essential Question: What are the three properties that simplify.

Chapter 4 Exponential and Logarithmic Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Properties of Logarithms.

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.

Understanding Exponents

EXAMPLE 1 Solve by equating exponents Rewrite 4 and as powers with base Solve 4 = x 1 2 x – 3 (2 ) = (2 ) 2 x – 3x – 1– 1 2 = 2 2 x– x + 3 2x =

Integer Exponents. Warm Up Find Each Product or Quotient x x ÷ ÷ x x

Introduction to Exponents Definition: Let b represent a real number and n a positive integer. Then … b is called the base and n is called the exponent.

Chapter 4 Exponential and Logarithmic Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Properties of Logarithms.

Solving Logarithmic Equations

6.1 Laws of Exponents.

An exponential equation is one in which a variable occurs in the exponent. An exponential equation in which each side can be expressed in terms of the.

Day Problems Simplify each expression. 1. (c 5 ) 2 2. (t 2 ) -2 (t 2 ) (2xy) 3x 2 4. (2p 6 ) 0.

5.1 Exponents. Exponents that are natural numbers are shorthand notation for repeating factors. 3 4 = is the base 4 is the exponent (also called.

How do I use the imaginary unit i to write complex numbers?

7-3: Rational Exponents. For any nonnegative number, b ½ = Write each expression in radical form, or write each radical in exponential form ▫81 ½ = =

Slide 7- 1 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

6.5 Solving Exponential Equations SOLVE EXPONENTIAL EQUATIONS WITH THE SAME BASE. SOLVE EXPONENTIAL EQUATIONS WITH UNLIKE BASES.

TUESDAY 2.Solve the following equations. a. b. 3.Graph the line. 10x 5 -36x 14 -6r 7 = 13 + r -13 r = – x = -3x + x -8 = -2x x = 4.

Exponents. Review: Evaluate each expression: 1.3 ³ 2.7¹ 3.-6² 4.(⅜)³ 5.(-6)² 6.3· 2³ Answers /

LEQ: How can you simplify expressions involving exponents?

Splash Screen Unit 6 Exponents and Radicals. Splash Screen Essential Question: How do you evaluate expressions involving rational exponents?

Unit 1: Concepts of Algebra Test Review

INTEGRATED MATH 2 Unit: Concepts of Algebra. Topics Covered  Properties of Real Numbers  Solving equations (from applications)  Verifying Solutions/algebraic.

Exponent Laws & Exponential Equations

Distributive Property Multiply and Divide polynomials by a constant worksheet.

College Algebra Chapter 4 Exponential and Logarithmic Functions

Understanding Exponents

Reviewing the exponent laws

Property of Equality for Exponential Equations:

Exponents 8/14/2017.

Section 6.4 Properties of Logarithmic Functions Objectives:

Suggested Practice on Moodle Worksheet: Logarithms Problems

Dividing Monomials: The Quotient Rule and Integer Exponents

Review: Zero and Negative Exponent

5.5 Properties and Laws of Logarithms

13.1 Exponents.

What is an equation? An equation is a mathematical statement that two expressions are equal. For example, = 7 is an equation. Note: An equation.

5A.1 - Logarithmic Functions

Unit 2 (8.EE.1) Vocabulary.

The Laws of Exponents.

Solving Equations involving Decimal Coefficients

4.4 Properties of Logarithms

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Properties of Logarithmic Functions

Exponents is repeated multiplication!!!

8.1 – 8.3 Review Exponents.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Division Rules for Exponents

Logarithmic Functions

7 more than 2 times a number j

Presentation transcript:

 To simplify expressions containing positive integral exponents.  To solve exponential equations.

Coefficient Base Exponent

Product or Quotient Expanded Form Simplified Form Suggested Relationship

Laws of Exponents For all positive integers m and n and all real numbers b, 1. where m > n and b ≠ 0 2. where n > m and b ≠ 0

Simplify.

Laws of Exponents For all positive integers m and n and all real numbers a and b,

Simplify.

Solving Exponential Equations 1. Find common base. 2. Set the exponents equal to each other. 3. Solve the equation.

Solve the equation. 1. Find common base. 2. Set the exponents equal to each other. 3. Solve the equation.