Logs Midterm Review Pre-Calculus. Topic 1: Be able to change logarithmic and exponential forms.

Slides:



Advertisements
Similar presentations
Unit 9. Unit 9: Exponential and Logarithmic Functions and Applications.
Advertisements

8-6 Compound Interest and Exponential Growth
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Logarithmic Equations Unknown Exponents Unknown Number Solving Logarithmic Equations Natural Logarithms.
Copyright © 2009 Pearson Education, Inc. CHAPTER 5: Exponential and Logarithmic Functions 5.1 Inverse Functions 5.2 Exponential Functions and Graphs 5.3.
Exponential Functions Intro. to Logarithms Properties.
Models of Exponential and Log Functions Properties of Logarithms Solving Exponential and Log Functions Exponential Growth and Decay
Precalc. 2. Simplify 3. Simplify 4. Simplify.
Homework
WARM - UP. SOLVING EXPONENTIAL & LOGARITHMIC FUNCTIONS SECTION 3.4.
Logarithm Jeopardy The number e Expand/ Condense LogarithmsSolving More Solving FINAL.
Chapter 8 Review. Rewrite into logarithm form: 1. 2.
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.
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”
LAWS OF LOGARITHMS SECTION 5.6. Why do we need the Laws? To condense and expand logarithms: To Simplify!
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.
Ch. 3.3 Properties of Logarithms
TODAY IN ALGEBRA 2.0…  REVIEW: 7.5 Expand and Condense LOGs  COMPLETE: HW #6  Learning Target: 7.6 You will solve exponential equations by changing.
Warm – Up Practice worksheet 3.1 Practice identifying and using the correct formula which is necessary to solve a problem Compound Interests and Annuities.
Jeopardy 100 Condense Expand Simplify Solve Exponential Solve Logs 500.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Warm up. 3.4 Solving Exponential & Logarithmic Equations Standards 13, 14.
8.5 – Using Properties of Logarithms. Product Property:
8.3-4 – Logarithmic Functions. Logarithm Functions.
Chapter 11 Section 11.1 – 11.7 Review. Chapter 11.1 – 11.4 Pretest Evaluate each expression 1. (⅔) -4 = ___________2. (27) - ⅔ = __________ 3. (3x 2 y.
Exponential and Logarithmic Functions Exponential and Logarithmic Equations: Problem Solving EXPONENTIAL AND LOGARITHMIC FUNCTIONS Objectives Solve.
Copyright © 2009 Pearson Education, Inc. CHAPTER 5: Exponential and Logarithmic Functions 5.1 Inverse Functions 5.2 Exponential Functions and Graphs 5.3.
Unit 3 Review Scavenger Hunt. The function y = (1.025) x represents the value of a home x years after purchase. What is the rate of appreciation.
Algebra II Honors January 5 th Students will complete daily warm-up problems. Students will be able to model exponential growth and decay. Students will.
NATURAL LOGARITHMS. The Constant: e e is a constant very similar to π. Π = … e = … Because it is a fixed number we can find e 2.
7.4 Logarithmic Functions Write equivalent forms for exponential and logarithmic equations. Use the definitions of exponential and logarithmic functions.
Logarithmic Functions PRE-CALCULUS UNIT 3: EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Solving Exponential Equations. We can solve exponential equations using logarithms. By converting to a logarithm, we can move the variable from the exponent.
Trash-ket Ball Chapter 7 Exponents and Logarithms.
Common Logarithms - Definition Example – Solve Exponential Equations using Logs.
Solving Logarithmic Equations
TODAY IN ALGEBRA 2.0…  REVIEW: Solving Exponential Equations  Learning Target 1: 7.6 You will solve exponential equations by using logarithms  Independent.
Students will be able to: Use multiplication properties of exponents to evaluate and simplify expressions. Objective 8.1.
12.8 Exponential and Logarithmic Equations and Problem Solving Math, Statistics & Physics 1.
MATH III – Exponential and Logarithmic Functions Exponential Growth and Decay.
TODAY IN ALGEBRA 2.0…  REVIEW: HW #3 Exponential Growth and Decay  Learning Target 1: 7.4 You will evaluate logarithms.  Independent Practice.
Basic Functions. Power Functions Exponential Functions Logarithmic Functions Trigonometric Functions.
6-2: Properties of Logarithms Unit 6: Exponents/Logarithms English Casbarro.
Logarithmic Properties Exponential Function y = b x Logarithmic Function x = b y y = log b x Exponential Form Logarithmic Form.
Review – Logs Compound Interest/ Exponential Growth/Decay Log Form and Exp Form Properties of Logs Log Equations
Copyright © Cengage Learning. All rights reserved. Pre-Calculus Honors 3.4: Solving Exponential and Logarithmic Equations Chapter 3 Test: Tues 12/15 and.
Calculus Sections 5.1 Apply exponential functions An exponential function takes the form y = a∙b x where b is the base and b>0 and b≠1. Identify as exponential.
INVERSE Logarithmic and Exponential Graphs and Graphing.
LOGARITHMIC AND EXPONENTIAL EQUATIONS LOGARITHMIC AND EXPONENTIAL EQUATIONS SECTION 4.6.
Precalculus Section 5.5 Define and apply logarithms
Warm Up Solve 9 2x = – Base e and Natural Logarithms.
8.6 Natural Logarithms.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Algebra The Natural Base, e. Review Vocabulary Exponential Function–A function of the general form f(x) = ab x Growth Factor – b in the exponential.
Find the solution of the exponential equation, correct to four decimal places. e x =
Logarithmic Functions and Their Graphs
Use properties of logarithms
Logs – Solve USING EXPONENTIATION
8.6 Solving Exponential & Logarithmic Equations
Packet #15 Exponential and Logarithmic Equations
Logarithmic Functions and Their Graphs
Solving Exponential & logarithmic Equations
5A.1 - Logarithmic Functions
The behaviour of as x→∞ is called which of the following?
Solve for x: log3x– log3(x2 – 8) = log38x
Inverse, Exponential and Logarithmic Functions
Topics are: Solving exponential equations
4 minutes Warm-Up Write each expression as a single logarithm. Then simplify, if possible. 1) log6 6 + log6 30 – log6 5 2) log6 5x + 3(log6 x – log6.
Warm Up  .
Logarithmic Functions
Presentation transcript:

Logs Midterm Review Pre-Calculus

Topic 1: Be able to change logarithmic and exponential forms

Topic 2: Solve Exponentials

Topic 3: Solve Logarithms

Topic 4: Determine growth, decay or neither 1. y = 2x y = 3(½) x y = (5/2) x y = 0.25x – 10 5.y = 4 x + 31

Topic 5: Compound Logs

Topic 6: Simplifying Exponentials

Topic 7: Exponential Functions Find each function that contains the two given points: 1.f(0) = 4; f(2) = 16 2.f(0) = 9; f(2) = 9 3.f(0) = 20; f(4) = f(2) = 18; f(3) = 108