One-to-One Property Section 3.1 Exponential Functions.

Slides:



Advertisements
Similar presentations
Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
Advertisements

Solving Exponential Equations. One-to-One Properties.
Exponential Functions Section 1. Exponential Function f(x) = a x, a > 0, a ≠ 1 The base is a constant and the exponent is a variable, unlike a power function.
WARM - UP. SOLVING EXPONENTIAL & LOGARITHMIC FUNCTIONS SECTION 3.4.
WARM - UP. SOLVING EXPONENTIAL & LOGARITHMIC FUNCTIONS SECTION 3.4.
Section 10.1 The Algebra of Functions. Section 10.1 Exercise #1 Chapter 10.
Exponential and Logarithmic Equations
Unit 1 Test Review Answers
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
Use mental math to evaluate.
Example 6 Solution of Exponential Equations Chapter 5.3 Solve the following exponential equations: a. b.  2009 PBLPathways.
Exponential & Logarithmic Equations MATH Precalculus S. Rook.
Logarithmic and Exponential Equations
Solving Exponential Equations
5.7 – Exponential Equations. 5.7 Exponential Equations Objectives: I will be able to…  Solve Exponential Equations using the Change of Base Formula Vocabulary:
5.1 – Exponential Functions. Exponential Function = a type of function in which a constant is raised to a variable power Many real-life applications using.
Table of Contents Solving Exponential Equations An exponential equation is an equation with a variable as part of an exponent. The following examples will.
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.
EQ: How do you use the properties of exponents and logarithms to solve equations?
Properties of Logarithms Section 6.5 Beginning on page 327.
Exponential Functions Section 1. Exponential Function f(x) = a x, a > 0, a ≠ 1 The base is a constant and the exponent is a variable, unlike a power function.
Warm – Up Practice worksheet 3.1 Practice identifying and using the correct formula which is necessary to solve a problem Compound Interests and Annuities.
2.1, 6.7 Exponential Equations OBJ:  To solve an exponential equation  To solve an exponential equation using properties of rational number exponents.
Section 3.4 Exponential and Logarithmic Equations.
Solving Exponential and Logarithmic Equations Section 6.6 beginning on page 334.
Unit 5: Modeling with Exponential & Logarithmic Functions Ms. C. Taylor.
3.5 – Solving Systems of Equations in Three Variables.
Exponential Equations Objective: Solve Exponential equations.
Section 11-4 Logarithmic Functions. Vocabulary Logarithm – y is called this in the function Logarithmic Function – The inverse of the exponential function.
Exponentials without Same Base and Change Base Rule.
Do Now (7.4 Practice): Graph. Determine domain and range.
Logarithms 1 Converting from Logarithmic Form to Exponential Form and Back 2 Solving Logarithmic Equations & Inequalities 3 Practice Problems.
Section 6.5 – Properties of Logarithms. Write the following expressions as the sum or difference or both of logarithms.
7.5 Warm-Up Solve. 1. x5/2 = x2/ = 24 x2/3 = 9
Solving Exponential Equations. We can solve exponential equations using logarithms. By converting to a logarithm, we can move the variable from the exponent.
Section 5.3 Solving Systems of Equations Using the Elimination Method There are two methods to solve systems of equations: The Substitution Method The.
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 =
Common Logarithms - Definition Example – Solve Exponential Equations using Logs.
Solving Logarithmic Equations
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.
Exponential Functions Chapter 10, Sections 1 and 6.
ACTIVITY 39 Exponential and Logarithmic (Section 5.4, pp ) Equations.
4.7 (Green) Solve Exponential and Logarithmic Equations No School: Monday Logarithms Test: 1/21/10 (Thursday)
Solving Equations Exponential Logarithmic Applications.
6.5 Solving Exponential Equations SOLVE EXPONENTIAL EQUATIONS WITH THE SAME BASE. SOLVE EXPONENTIAL EQUATIONS WITH UNLIKE BASES.
College Algebra K/DC Friday, 01 April 2016 OBJECTIVE TSW review for the test covering sec. 4.1 – 4.3. ASSIGNMENTS DUE MONDAY –Sec. 4.2: pp (87-96.
Objectives: The student will be able to… 1)Graph exponential functions. 2)Solve exponential equations and inequalities.
Review of Logarithms. Review of Inverse Functions Find the inverse function of f(x) = 3x – 4. Find the inverse function of f(x) = (x – 3) Steps.
SECTION 5-5A Part I: Exponentials base other than e.
Reviewing the exponent laws
Solving Multistep Equations
Solving Linear Equations and Inequalities
Property of Equality for Exponential Equations:
Solving Exponential Equations
Rational and Irrational Numbers and Their Properties (1.1.2)
Solve Quadratic Equations by the Quadratic Formula
6.5 Applications of Common Logarithms
Warm-up.
8.6 Solving Exponential & Logarithmic Equations
Properties of Logarithms
Solving Percent Problem with Equations
Solving Exponential Equations
Keeper #39 Solving Logarithmic Equations and Inequalities
3.4 Exponential and Logarithmic Equations
Solving Equations with Variables on Both Sides
Solving Equations with Variables on Both Sides
TWO STEP EQUATIONS 1. SOLVE FOR X 2. DO THE ADDITION STEP FIRST
Properties of Logarithms
Rewriting Equations Equivalent Equations.
Presentation transcript:

One-to-One Property Section 3.1 Exponential Functions

Objectives  Students will be able to solve equations with variables in the exponents  Students will be able to decipher between and use each interest and exponential application formula  Students will be able to determine the difference between a present value and future value annuity  Students will be able to solve equations with variables in the exponents  Students will be able to decipher between and use each interest and exponential application formula  Students will be able to determine the difference between a present value and future value annuity

One-to-One

Practice