1. 2 Switching From Exp and Log Forms Solving Log Equations Properties of Logarithms Solving Exp Equations Lnx 100 200 300 400 500.

Slides:



Advertisements
Similar presentations
Exponential Functions Intro. to Logarithms Properties.
Advertisements

Bell work Find the value to make the sentence true. NO CALCULATOR!!
Solving Exponential Equations Using Logarithms
Exponential/ Logarithmic
Questions over 4.6 HW???. 4.7 (Green) Solve Exponential and Logarithmic Equations No School: Monday Logarithms Test: 1/21/10 (Thursday)
Logarithm Jeopardy The number e Expand/ Condense LogarithmsSolving More Solving FINAL.
Aim: How do we solve exponential and logarithmic equations ? Do Now: Solve each equation: a. log 10 x 2 = 6 b. ln x = –3 Homework: Handout.
1. 2 Switching From Exp and Log Forms Solving Log Equations Properties of Logarithms Solving Exp Equations Growth and Decay Problems
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”
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?
Ch. 3.3 Properties of Logarithms
8-5 Exponential & Logarithmic Equations Strategies and Practice.
 If m & n are positive AND m = n, then  Can solve exponential equation by taking logarithm of each side of equation  Only works with base 10.
Unit 5: Modeling with Exponential & Logarithmic Functions Ms. C. Taylor.
Sullivan Algebra and Trigonometry: Section 6.5 Properties of Logarithms Objectives of this Section Work With the Properties of Logarithms Write a Log Expression.
8.5 – Using Properties of Logarithms. Product Property:
Laws of Logarithms 5.6. Laws of Logarithms O If M and N are positive real numbers and b is a positive number such that b  1, then O 1. log b MN = log.
Today in Pre-Calculus Go over homework Need a calculator Review Chapter 3 Homework.
Natural Logarithms.
Solving Logarithmic Equations TS: Making decisions after reflection and review. Obj: Be able to solve equations involving logarithms Warm-Up: Solve for.
8.3-4 – Logarithmic Functions. Logarithm Functions.
5-4 Exponential & Logarithmic Equations Strategies and Practice.
Exponentials without Same Base and Change Base Rule.
Solving Logarithmic Equations
Natural Logarithms Section 5.6. Lehmann, Intermediate Algebra, 4ed Section 5.6Slide 2 Definition of Natural Logarithm Definition: Natural Logarithm A.
Today in Precalculus Go over homework Notes: Common and Natural Logarithms Homework.
You’ve gotten good at solving exponential equations with logs… … but how would you handle something like this?
E/ Natural Log. e y = a x Many formulas in calculus are greatly simplified if we use a base a such that the slope of the tangent line at y = 1 is exactly.
5.2 Logarithmic Functions & Their Graphs Goals— Recognize and evaluate logarithmic functions with base a Graph Logarithmic functions Recognize, evaluate,
7.4 Logarithmic Functions Write equivalent forms for exponential and logarithmic equations. Use the definitions of exponential and logarithmic functions.
Exponential and Logarithmic Functions Logarithms Exponential and Logarithmic Functions Objectives Switch between exponential and logarithmic form.
Chapter 4 – Exponential and Logarithmic Functions Logarithmic Functions.
Section 6.5 – Properties of Logarithms. Write the following expressions as the sum or difference or both of logarithms.
Chapter 5: Exponential and Logarithmic Functions 5.5: Properties and Laws of Logarithms Essential Question: What are the three properties that simplify.
Logarithmic Functions
( ) EXAMPLE 5 Use inverse properties Simplify the expression. a.
Do Now: 7.4 Review Evaluate the logarithm. Evaluate the logarithm. Simplify the expression. Simplify the expression. Find the inverse of the function.
BELL RINGER Write, in paragraph form, everything you remember about logarithmic and exponential functions including how to convert, solve logarithmic equations,
Common Logarithms - Definition Example – Solve Exponential Equations using Logs.
Solving Logarithmic Equations
12.8 Exponential and Logarithmic Equations and Problem Solving Math, Statistics & Physics 1.
Copyright © Cengage Learning. All rights reserved. 3 Differentiation Rules.
4.7 (Green) Solve Exponential and Logarithmic Equations No School: Monday Logarithms Test: 1/21/10 (Thursday)
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.
Properties of Logarithms and Common Logarithms Sec 10.3 & 10.4 pg
Introduction to Logarithms Chapter 8.4. Logarithmic Functions log b y = x if and only if b x = y.
6-2: Properties of Logarithms Unit 6: Exponents/Logarithms English Casbarro.
3.3 Logarithmic Functions and Their Graphs
Aim: What are the properties of logarithms? Do Now: Rewrite the following exponential form into log form 1.b x = A 2.b y = B HW:p.331 # 16,18,20,22,24,26,28,38,40,42,48,52.
Slide the Eraser Exponential and Logarithmic Functions.
Logarithmic Functions & Their Graphs Goals— Recognize and evaluate logarithmic functions with base a Graph Logarithmic functions Recognize, evaluate, and.
Chapter 5 Review JEOPARDY -AP Calculus-.
Ch. 8.5 Exponential and Logarithmic Equations
Warm Up WARM UP Evaluate the expression without using a calculator.
(8.2) - The Derivative of the Natural Logarithmic Function
Logarithmic Functions and Their Graphs
Ch. 3 – Exponential and Logarithmic Functions
6.5 Applications of Common Logarithms
8.6 Solving Exponential & Logarithmic Equations
Packet #15 Exponential and Logarithmic Equations
5.4 Logarithmic Functions and Models
Logarithms and Logarithmic Functions
Solving Exponential & logarithmic Equations
5A.1 - Logarithmic Functions
Using natural logarithms
Properties of Logarithmic Functions
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:

1

2 Switching From Exp and Log Forms Solving Log Equations Properties of Logarithms Solving Exp Equations Lnx

3 Switching From Exp and Log Forms 100 Log 3 81=x Write in exponential form and solve for x.

4 Switching From Exp and Log Forms 200 Log 2 x=-4.

5 Switching From Exp and Log Forms 300 Switch log x 25 = 2 to exponential form and solve for x.

6 Switching From Exp and Log Forms 400

7 Switching From Exp and Log Forms 500 log 2 80 – log 2 5 = x.

8 Solving Log Equations 100 Solve the logarithmic equation

9 Solving Log Equations 200 Solve the logarithmic equation log – log 5 5 = x

10 Solving Log Equations 300 Solve the logarithmic equation

11 Solving Log Equations 400

12 Solving Log Equations 500

13 Properties of Logarithms 100 Simplify the expression

14 Properties of Logarithms 200 Simplify the expression

15 Properties of Logarithms 300 Write in terms of base 10 using the change of base formula. 1. log log 9 17

16 Properties of Logarithms 400 Express the following as a single logarithm and simplify, if possible. 1.log log log – log 6 10

17 Properties of Logarithms 500 A log table says that log 2 = a and log 9 = b. Describe in terms of a or b log 18 and log 2 81.

18 Solving Exponential Equations 100 Solve the exponential equation

19 Solving Exponential Equations 200 Solve the exponential equation

20 Solving Exponential Equations 300 Solve the exponential equation. Leave in calculator ready form

21 Solving Exponential Equations 400 Solve e 2x – 5e x + 6=0

22 Solving Exponential Equations 500 Solve the exponential equation. Leave in calculator ready form

23 Lnx 100 lne 5

24 lnx 200

25 lnx 300 Ln(2x-5)-ln1=5 Solve for x. Leave in calculator ready form

26 lnx 400 Ln(x)-ln(x-1)=2ln5

27 lnx ln(x-1)+ln(x+1)=2