$100 $200 $300 $400 Write log 2 9 = x in exponential form What is… … … 2 x = 9.

Slides:



Advertisements
Similar presentations
Logarithmic Equations Unknown Exponents Unknown Number Solving Logarithmic Equations Natural Logarithms.
Advertisements

Box-wad-of-paper Chapter 12 Exponents and Logarithms.
Chapter 3 Linear and Exponential Changes 3
Logarithmic Applications Applications Best Suited to Logarithms.
Solving Exponential Equations Using Logarithms
3.3 Properties of Logarithms Change of Base. When solve for x and the base is not 10 or e. We have changed the base from b to 10. WE can change it to.
Logarithm Jeopardy The number e Expand/ Condense LogarithmsSolving More Solving FINAL.
Objectives: 1.Be able to convert a logarithmic function into an exponential function. 2.Be able to convert an exponential function into a logarithmic function.
8.5 Properties of logarithms
1 Logarithms Definition If y = a x then x = log a y For log 10 x use the log button. For log e x use the ln button.
1. Use a property of logarithms to evaluate log Use log 5 ≈ and log 6 ≈ to approximate the value of log Expand ln 7 3 2x 4.
Chapter 8 Review. Rewrite into logarithm form: 1. 2.
LAWS OF LOGARITHMS SECTION 5.6. Why do we need the Laws? To condense and expand logarithms: To Simplify!
EQ: How do you use the properties of exponents and logarithms to solve equations?
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.
Jeopardy 100 Condense Expand Simplify Solve Exponential Solve Logs 500.
Solving Exponential and Logarithmic Equations Section 6.6 beginning on page 334.
MODELING REAL SITUATIONS USING EXPONENTIAL FUNCTIONS: PART 2 Patterns #5.
Section 9.6 There are two logarithmic bases that occur so frequently in applications that they are given special names. Common logarithms are logarithms.
Properties of Logarithms MATH Precalculus S. Rook.
Logarithmic Functions. Example1. On the Richter Scale, the magnitude R of an earthquake of intensity I is given by where I 0 is a certain minimum intensity.
8.3-4 – Logarithmic Functions. Logarithm Functions.
Exponential and Logarithmic Functions Exponential and Logarithmic Equations: Problem Solving EXPONENTIAL AND LOGARITHMIC FUNCTIONS Objectives Solve.
Chapter 3 Exponential and Logarithmic Functions 1.
Lesson 10.4Common Logarithms Common Logarithm:base 10 logarithms (without subscript 10) Example 1Finding Common Logs & Change of Base A) B)C)
8.5 Properties of Logarithms Objectives: 1.Compare & recall the properties of exponents 2.Deduce the properties of logarithms from/by comparing the properties.
How are you all doing? Any questions about anything?
Jeopardy $100 Facts About Logarithms Exponentials to Logs Evaluating Logs Expanding Logs Condensing Logs $200 $300 $400 $300 $200 $100 $400 $300 $200 $100.
You’ve gotten good at solving exponential equations with logs… … but how would you handle something like this?
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.
5.4 Properties of Logarithms 3/1/2013
Solving Exponential Equations. We can solve exponential equations using logarithms. By converting to a logarithm, we can move the variable from the exponent.
3.3 Properties of Logarithms Students will rewrite logarithms with different bases. Students will use properties of logarithms to evaluate or rewrite logarithmic.
( ) EXAMPLE 5 Use inverse properties Simplify the expression. a.
Trash-ket Ball Chapter 7 Exponents and Logarithms.
7.5 NOTES – APPLY PROPERTIES OF LOGS. Condensed formExpanded form Product Property Quotient Property Power Property.
3.3 Properties of Logarithms Change of base formula log a x =or.
Properties of Logarithms
Common Logarithms - Definition Example – Solve Exponential Equations using Logs.
Chapter 3 Exponential and Logarithmic Functions
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.
Double Jeopardy $200 Miscellaneous Facts Solving Logs with Properties Solving Log Equations Solving Exponential Equations Graphs of Logs $400 $600 $400.
4.7 (Green) Solve Exponential and Logarithmic Equations No School: Monday Logarithms Test: 1/21/10 (Thursday)
Jeopardy $100 Facts About Logarithms Exponentials to Logs Evaluating Logs Expanding Logs Condensing Logs $200 $300 $200 $100 $300 $200 $100 $400 $300 $200.
Solving Equations Exponential Logarithmic Applications.
Solving Logarithmic Equations I.. Relationship between Exponential and Logarithmic Equations. A) Logs and Exponentials are INVERSES of each other. 1) That.
LOGARITHMIC AND EXPONENTIAL EQUATIONS LOGARITHMIC AND EXPONENTIAL EQUATIONS SECTION 4.6.
Precalculus Section 5.5 Define and apply logarithms
LOGARITHMIC AND EXPONENTIAL EQUATIONS Intro to logarithms and solving exponential equations.
Copyright © 2011 Pearson, Inc. 3.3 Logarithmic Functions and Their Graphs.
Find the solution of the exponential equation, correct to four decimal places. e x =
Double Jeopardy Final Jeopardy $200 $200 $200 $200 $200 $400 $400 $400
Solving Exponential and Logarithmic Equations
Warm Up WARM UP Evaluate the expression without using a calculator.
Ch. 3 – Exponential and Logarithmic Functions
Logs on the Calculator and Solving Exponential Functions
22. $5,000e(0.069)(5) = $7, $20,000e(0.0375)(2) = $21, $2,000e(0.051)(3) = $2, $950e(0.06)(10) = $1, =
Logs – Solve USING EXPONENTIATION
Chapter 3 Exponents and Logarithms
Packet #15 Exponential and Logarithmic Equations
Ch 3.3: Properties of Logarithms
Warm Up Which plan yields the most interest? Invest $100 Plan A: A 7.5% annual rate compounded monthly for 4 years Plan B: A 7.2% annual rate compounded.
7.5a - Properties of Logarithms
Logarithm Jeopardy!.
Logarithmic and Exponential Equations
3.4 Exponential and Logarithmic Equations
Warm Up Solve for x:
Properties of logarithms
Warm-up: Solve for x: CW: Practice Log Quiz HW: QUIZ Review 3.1 – 3.4.
Compound Interest If a principal P is invested at an interest rate r for a period of t years, then the amount A of the investment is given by A = P(1 +
Presentation transcript:

$100 $200 $300 $400

Write log 2 9 = x in exponential form What is… … … 2 x = 9

What is… … … e 5 = x Write ln x = 5 in exponential form

What is…. …… log 4 12 = x Write 4 x = 12 in logarithmic form

Write e x = 16 in logarithmic form What is…. … … ln 16 = x

Expand log 7 (x 3 y 2 ) What is…. … … 3 log 7 x + 2 log 7 y

Expand ln (y 3 /x 1/2 ) What is…. … 3 ln y - 1/2 ln x

Condense 7 log 4 x - 3 log 4 2 What is…. … log 4 x 7 / 8

Condense (8 log 3 x + 3 log 3 y) - 1/2 log 3 4 What is…. … … log 3 x 8 y 3 2

What is…. …… x = 3 Solve for x: log 2 8 = x

Solve for x: 2 ln x = 4 The solution isThe solution is…. … x = 7.39

Solve for x: 7 x = 138 What isWhat is…. … x = 2.53

Solve for x: 12 e x + 10 = 13 What is…. … … x = -1.39

R = log (I) If intensity is measured at 12,000 how does it rank on the scale? What is…. … … 4.08

R = log (I) If an earthquake measures 5.7 on the Richter Scale, what was the measure of the intensity? What is…. …… intensity = 50, units

If 1 in 3,300 people die per year from peanut butter, what is the risk factor number? … risk factor = 3.5 What is….

If an activity has a risk factor of 2.8. Find x, if 1 in x people die per year from this activity. What is…. …… x = 631 people

Double Jeopardy $400 Solve for x: (1/4) 3 x - 18 = 18 What is…. … x= 4.5