Chapter 8 Review. Rewrite into logarithm form: 1. 2.

Slides:



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

EXAMPLE 5 Model continuously compounded interest A = Pe rt SOLUTION Finance You deposit $4000 in an account that pays 6% annual interest compounded continuously.
Compound interest & exponential growth/decay. Compound Interest A=P(1 + r ) nt n P - Initial principal r – annual rate expressed as a decimal n – compounded.
Exponential functions Logarithmic functions
Box-wad-of-paper Chapter 12 Exponents and Logarithms.
Exponential Functions Intro. to Logarithms Properties.
Models of Exponential and Log Functions Properties of Logarithms Solving Exponential and Log Functions Exponential Growth and Decay
7.7 Day 1 Notes Base e and Natural Logarithms
Homework
Tuesday April 15, Exponential Growth Functions
Logarithmic Functions TS:Making Decisions After Reflection and Review.
Precalculus – MAT 129 Instructor: Rachel Graham Location: BETTS Rm. 107 Time: 8 – 11:20 a.m. MWF.
Logarithm Jeopardy The number e Expand/ Condense LogarithmsSolving More Solving FINAL.
Logarithms and Exponential Equations Ashley Berens Madison Vaughn Jesse Walker.
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”
EXPONENTIAL/LOG This is Khan Academy Approved!!! Ali & Sara!
1. 2 Switching From Exp and Log Forms Solving Log Equations Properties of Logarithms Solving Exp Equations Growth and Decay Problems
3 Exponential and Logarithmic Functions
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.
Section 6.4 Solving Logarithmic and Exponential Equations
We can unite bases! Now bases are same!. We can unite bases! Now bases are same!
Exponential Functions Exponential functions Geometric Sequences.
The Number e and Natural Logs Chapter 8.4 and 8.3.
2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Evaluate Separate the log Write as.
7.4a Notes – Evaluate Logarithms. 1. Solve for x. a. x = 2 b. c.d. x = 1 x = 0 x = -2.
Mrs. McConaughyHonors Algebra 21 Objectives:  To use the natural base e as a base of an exponential function  To use the natural base e in real-life.
Chapter 8 Multiple-Choice Practice
Xy -21/16 1/ xy -25/4 5/ xy -22/9 2/ xy /3 21/9 xy /2 xy
Applications of Logs and Exponentials Section 3-4.
THE NATURAL BASE EXAMPLE 1 Simplify natural base expressions Simplify the expression. a.e2e2 e5e5 = e = e7e7 b. 12e4e4 3e3e3 = e 4 – 3 4 = 4e4e.
3.4 Solving Exponential and Logarithmic Equations.
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.
Base e and Natural Logarithms
Exponential and Logarithmic Functions Chapter 11.
ALGEBRA II THE NATURAL LOGARITHM. The natural logarithm, ln, is a logarithm! It acts, walks, and talks just like its cousin, log. The exception.
Chapter 3 Exponential and Logarithmic Functions 1.
Copyright © 2009 Pearson Education, Inc. Slide Active Learning Lecture Slides For use with Classroom Response Systems © 2009 Pearson Education, Inc.
6.6 The Natural Base, e Warm-up Learning Objective: To evaluate natural exponential and natural logarithmic functions and to model exponential growth and.
Introduction Logarithms can be used to solve exponential equations that have a variable as an exponent. In compound interest problems that use the formula,
GPS: MM3A2e, MM3A2f, MM3A2d.  MM3A2e – Investigate and explain characteristics of exponential and logarithmic functions including domain and range, asymptotes,
Logarithms Rewrite the equations in exponential form.
3.3 Properties of Logarithms Students will rewrite logarithms with different bases. Students will use properties of logarithms to evaluate or rewrite logarithmic.
Trash-ket Ball Chapter 7 Exponents and Logarithms.
Chapter 3 Exponential and Logarithmic Functions
GRAPHING EXPONENTIAL FUNCTIONS f(x) = 2 x 2 > 1 exponential growth 2 24–2 4 6 –4 y x Notice the asymptote: y = 0 Domain: All real, Range: y > 0.
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 )
Warm-Up 1) Use log 3 5 = and log 3 6 = to approximate log ) Condense 7 log log 4 x + 3 log 4 y.
4.3 Use Functions Involving e PROJECT DUE: Tomorrow Quiz: Tomorrow Performance Exam: Friday *We will be having a book check tomorrow…. BRING BOTH.
The Natural Base e An irrational number, symbolized by the letter e, appears as the base in many applied exponential functions. This irrational number.
Semester Review Slide Show
Algebra 3-4 Chapter 10 Review Algebra 3-4 Chapter 10 Review Sports Challenge! G. Anthony Streamwood High School ©2006 Any changes to the program is a.
LOGARITHMIC AND EXPONENTIAL EQUATIONS Intro to logarithms and solving exponential equations.
Graphing $ 100 $ 300 $ 200 $ 400 $ 500 $ 100 $ 300 $ 200 $ 400 $ 500 $ 100 $ 300 $ 200 $ 400 $ 500 $ 100 $ 300 $ 200 $ 400 $ 500 $ 100 $300 $ 200 $ 400.
Trashketball Review Chapter 3 Exponents and Logarithms.
Warm Up Solve 9 2x = – Base e and Natural Logarithms.
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.
Chapter 7: Exponential and Logarithmic Functions Big ideas:  Graphing Exponential and Logarithmic Functions  Solving exponential and logarithmic equations.
Chapter 5: Inverse, Exponential, and Logarithmic Functions
Inverse, Exponential, and Logarithmic Functions
Evaluate Logarithms Chapter 4.5.
Logs on the Calculator and Solving Exponential Functions
Logs – Solve USING EXPONENTIATION
7.7 – Base e and Natural Logarithms
Chapter 3 Exponents and Logarithms
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Exponential Functions Intro. to Logarithms Properties of Logarithms
Properties of logarithms
C2D8 Bellwork: Fill in the table Fill in the blanks on the worksheet
Presentation transcript:

Chapter 8 Review

Rewrite into logarithm form: 1. 2.

Rewrite into exponential form: Simlify: 5. 6.

Use a calculator to evaluate – round to 3 decimal places Tell whether the function is exponential growth or decay: 9. f(x) = GROWTH

Expand: log 8 x 5 y log 5 5log 8 x + log 8 y log log 5 x-3log 5 y

Condense: 12. ln56 – ln8 ln log 2 x + 4log 2 y log 2 x 3 y 4

Use change of base formula to evaluate: log log 3 16 log11 log log16 log

Solve: x-7 = 16 x e x-2 = 8 4 3x-21 = 4 2x+22 3x-21 = 2x+22 x = 43 lne x-2 = ln8 x-2 = ln8 x = ln8+2 x=4.079

2log 5 (x-1) = Log 3 (2x-3) =3 X-1 = 25 X = 26 2X-3 = 27 2x = 30 x = 15

20. Continuous compounded interest uses the formula: A = Pe rt. You deposit $3000 in an account that pays 3% annual interest compounded continuously. What is the balance after 1 year? A = 3000e.03(1) $

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2024 SlidePlayer.com Inc. All rights reserved.