Logarithmic Properties & Functions By: Jeffrey Bivin Lake Zurich High School Last Updated: January 30, 2008.

Slides:



Advertisements
Similar presentations
Trig (Polar) Form of a Complex Number
Advertisements

Solving Quadratics by Completing the Square & Quadratic Formula
Determinants of 2 x 2 and 3 x 3 Matrices By: Jeffrey Bivin Lake Zurich High School
Properties of Logarithms
Graphing Parabolas Using the Vertex Axis of Symmetry & y-Intercept By: Jeffrey Bivin Lake Zurich High School Last Updated: October.
By: Jeffrey Bivin Lake Zurich High School Last Updated: October 30, 2006.
Exponential and Logarithmic Equations
Arithmetic Sequences & Series Last Updated: October 11, 2005.
7.6 – Solve Exponential and Log Equations
Recursive Functions, Iterates, and Finite Differences By: Jeffrey Bivin Lake Zurich High School Last Updated: May 21, 2008.
Logarithmic and Exponential Equations
Warm-up 1. Convert the following log & exponential equations 1. Convert the following log & exponential equations Log equationExponential Equation Log.
Exponential and Logarithmic Functions By: Jeffrey Bivin Lake Zurich High School Last Updated: January 30, 2008.
Quiz 1) Convert log 2 4 = x into exponential form 2) Convert 3 y = 9 into logarithmic form 3) Graph y = log 4 x 2 x = 4 log 3 9 = y y = log 4 x.
EQ: How do you use the properties of exponents and logarithms to solve equations?
CONVERTING FROM ONE FORM TO ANOTHER EVALUATING PROPERTIES OF LOGS – EXPANDING AND CONDENSING Day 1:
MATRICES Jeffrey Bivin Lake Zurich High School Last Updated: October 12, 2005.
Solving Exponential and Logarithmic Equations Section 6.6 beginning on page 334.
Unit 5: Modeling with Exponential & Logarithmic Functions Ms. C. Taylor.
THE UNIT CIRCLE Initially Developed by LZHS Advanced Math Team (Keith Bullion, Katie Nerroth, Bryan Stortz) Edited and Modified by Jeff Bivin Lake Zurich.
8.5 – Using Properties of Logarithms. Product Property:
Graphs of Polynomial Functions
Exponential and Logarithmic Functions Section 5.4.
Relations and Functions By: Jeffrey Bivin Lake Zurich High School Last Updated: November 14, 2007.
Graphing Lines slope & y-intercept & x- & y- intercepts Jeffrey Bivin Lake Zurich High School Last Updated: September 6, 2007.
Homework Questions. LOGS Warm-up Convert from log form to exponential form Convert from exponential form to log form Expand Condense.
Unit 5: Properties of Logarithms MEMORIZE THEM!!! Exponential Reasoning [1] [2] [3] [4] Cannot take logs of negative number [3b]
Logarithms 1 Converting from Logarithmic Form to Exponential Form and Back 2 Solving Logarithmic Equations & Inequalities 3 Practice Problems.
8.4 – Properties of Logarithms. Properties of Logarithms There are four basic properties of logarithms that we will be working with. For every case, the.
Objectives: Be able to identify the properties of logarithms.
You’ve gotten good at solving exponential equations with logs… … but how would you handle something like this?
Systems of Equations Gaussian Elimination & Row Reduced Echelon Form by Jeffrey Bivin Lake Zurich High School Last Updated: October.
Properties of Logarithms Change of Base Formula:.
Jeff Bivin -- LZHS Last Updated: April 7, 2011 By: Jeffrey Bivin Lake Zurich High School
Binomial Expansion And More
By: Jeffrey Bivin Lake Zurich High School
Chapter 4 Exponential and Logarithmic Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Properties of Logarithms.
7.5 NOTES – APPLY PROPERTIES OF LOGS. Condensed formExpanded form Product Property Quotient Property Power Property.
Exponential and Logarithmic Functions By: Jeffrey Bivin Lake Zurich High School Last Updated: January 2, 2006.
Solving Logarithmic Equations
Matrix Working with Scalars by Jeffrey Bivin Lake Zurich High School Last Updated: October 11, 2005.
Rational Expon ents and Radicals By: Jeffrey Bivin Lake Zurich High School Last Updated: December 11, 2007.
Property of Logarithms If x > 0, y > 0, a > 0, and a ≠ 1, then x = y if and only if log a x = log a y.
Algebra 2 Notes May 4,  Graph the following equation:  What equation is that log function an inverse of? ◦ Step 1: Use a table to graph the exponential.
Matrix Multiplication. Row 1 x Column X 25 = Jeff Bivin -- LZHS.
Properties of logarithms. Properties of Logarithms Let b, u, and v be positive numbers such that b≠1. Product property: log b uv = log b u + log b v Quotient.
Inverses By: Jeffrey Bivin Lake Zurich High School Last Updated: November 17, 2005.
Lake Zurich High School
LOGARITHMIC AND EXPONENTIAL EQUATIONS Intro to logarithms and solving exponential equations.
Matrix Multiplication Example 1 Original author: Jeffrey Bivin, Lake Zurich High School.
Exponential and Logarithmic Functions
Solving Quadratics by Completing the Square & Quadratic Formula
Rational Exponents and Radicals
Lake Zurich High School
Lake Zurich High School
7.5a - Properties of Logarithms
Jeffrey Bivin Lake Zurich High School
Logarithmic and Exponential Equations
Homework Check.
Recursive Functions and Finite Differences
Logarithmic and Exponential Equations
Matrix Multiplication
Lake Zurich High School
4.4 Properties of Logarithms
Solving Logarithmic Equations
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Exponents and Radicals
Using Properties of Logarithms
Jeffrey Bivin Lake Zurich High School
Solve the equations. 4 2
Presentation transcript:

Logarithmic Properties & Functions By: Jeffrey Bivin Lake Zurich High School Last Updated: January 30, 2008

Properties of Logarithms Product Property Quotient Property Power Property Property of Equality Jeff Bivin -- LZHS

Product Property multiplicationaddition multiplicationaddition Jeff Bivin -- LZHS

Product Property Jeff Bivin -- LZHS

Quotient Property divisionsubtraction divisionsubtraction Jeff Bivin -- LZHS

Quotient Property Jeff Bivin -- LZHS

Power Property log b (m p ) log b (m p ) = plog b (m) p Jeff Bivin -- LZHS

Power Property Jeff Bivin -- LZHS

Property of Equality Jeff Bivin -- LZHS

Expand product property power property Jeff Bivin -- LZHS

Expand quotient property product property power property Jeff Bivin -- LZHS

Expand quotient property product property power property distributive property Jeff Bivin -- LZHS

Condense power property product property quotient property Jeff Bivin -- LZHS

Condense group / factor product property quotient property Power property Jeff Bivin -- LZHS

Condense re-organize group product property Power property quotient property Jeff Bivin -- LZHS

Solve for x Jeff Bivin -- LZHS Property of Equality

Solve for x checks! Jeff Bivin -- LZHS

Solve for x Jeff Bivin -- LZHS

Solve for n Jeff Bivin -- LZHS Condense left side Property of Equality

Solve for n checks! Jeff Bivin -- LZHS

Solve for n Jeff Bivin -- LZHS

Solve for x Jeff Bivin -- LZHS Condense left side Convert to exponential form

Solve for x checks! fails The argument must be positive Jeff Bivin -- LZHS

Solve for x Jeff Bivin -- LZHS

Solve for x Jeff Bivin -- LZHS Convert to exponential form

Solve for x checks! Jeff Bivin -- LZHS

Solve for x Jeff Bivin -- LZHS

Solve for x Jeff Bivin -- LZHS

Solve for x Jeff Bivin -- LZHS

Solve for x Jeff Bivin -- LZHS

Solve for x Jeff Bivin -- LZHS

Solve for x Jeff Bivin -- LZHS

Solve for x Jeff Bivin -- LZHS

Solve for x Jeff Bivin -- LZHS

Solve for x Jeff Bivin -- LZHS

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

© 2025 SlidePlayer.com. Inc. All rights reserved.