1 2 3 4 5 6 Logarithms 1 my dear Watson.

Slides:



Advertisements
Similar presentations
AB 11 22 33 44 55 66 77 88 99 10  20  19  18  17  16  15  14  13  12  11  21  22  23  24  25  26  27  28.
Advertisements

Using Logs to Linearise Curves
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.
Mathematics. Session Logarithms Session Objectives.
Warm up. 3.4 Solving Exponential & Logarithmic Equations Standards 13, 14.
Sec 4.1 Exponential Functions Objectives: To define exponential functions. To understand how to graph exponential functions.
Exponential Regression Section Starter The city of Concord was a small town of 10,000 people in Returning war veterans and the G.I.
8.3-4 – Logarithmic Functions. Logarithm Functions.
Y = 10 x y = log 10 x y = x The log 10 x (pronounced log base 10) is called the inverse function of y = 10 x. The inverse function is always a reflection.
Analysis of Case Control Studies E – exposure to asbestos D – disease: bladder cancer S – strata: smoking status.
7.4 Logarithmic Functions Write equivalent forms for exponential and logarithmic equations. Use the definitions of exponential and logarithmic functions.
3.3 Properties of Logarithms Students will rewrite logarithms with different bases. Students will use properties of logarithms to evaluate or rewrite logarithmic.
Logarithms Laws of logarithms.
4.5 Properties of Logarithms. Properties of Logarithms log log 6 3 log 4 32 – log 4 2 log 5 √5.
Solving Logarithmic Equations
1 College of ENGINEERING Mathematics I Logarithms Dr Fuad M. Shareef.
Operational Amplifiers Supplemental lecture Rick Matthews.
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.
Exponential and Logarithmic Functions Do Now 2. Write as the sum or difference of logarithms with no exponents log a x 4 y 3 4log a x – 3log a y log a.
Goals:  Understand logarithms as the inverse of exponents  Convert between exponential and logarithmic forms  Evaluate logarithmic functions.
Factoring Warm-up.
Properties of Logarithm
TRANSFORMING RELATIONSHIPS
5.5 Solving Exponential and Logarithmic Equations
Inverse, Exponential, and Logarithmic Functions
Lesson 10.3 Properties of Logarithms
The Product Property Definition: The log of a product can be expanded into the SUM of the logs of the factors logb mn = logb m + logb n (EXPANDING) EX:
Logarithmic Functions
Dr J Frost C2: Chapter 3 Logarithms Dr J Frost
Ch. 3 – Exponential and Logarithmic Functions
3.2 Logarithmic Function and their Graphs
Expanding and Condensing Logarithms
22. $5,000e(0.069)(5) = $7, $20,000e(0.0375)(2) = $21, $2,000e(0.051)(3) = $2, $950e(0.06)(10) = $1, =
8-4 Properties of Logarithms
8.3 Properties of logarithms
Section 6.4 Properties of Logarithmic Functions Objectives:
logb AB = logbbx + y Aim: What are the properties of logarithms?
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
7.5 – Properties of Logarithms
LOGARITHMS © Department of Analytical Skills.
LOGARITHMS AND THEIR PROPERTIES
Sec 11-1 Graphs of Exponential and Logarithmic Functions
Exponents, collecting terms and log rules
Exponents and Logarithms
Deriving and Integrating Logarithms and Exponential Equations
Exponents and Logarithms
Logarithmic Functions
Properties of Logarithmic Functions
Warm-Up: Graph the logarithmic function and exponential function then state the domain and range for each. D: x-int: R: y-int: HA: D: x-int: R: y-int:
Logarithms 2 my dear Watson.
Logarithmic Functions
Properties of Logarithmic Functions
Calculation Session 1 Lecture 2:
Properties of Logarithms
Section 4.7 Laws of Logarithms.
Logarithmic Functions
Chapter 5: Exponential and Logarithmic Functions
Indices my dear Watson.
Properties of Logarithmic Functions
4.5 Properties of Logarithms
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.
Properties of Logarithmic Functions
Equations my dear Watson.
Properties of logarithms
Logarithms Laws (Unity)
Logarithmic Functions
Properties of Logarithms
More on Two-Variable Data
Laws of Logarithms Since logarithms are exponents, the Laws of Exponents give rise to the Laws of Logarithms.
Warm Up Simplify each expression 1. log24 + log28 2. log39 – log327
Presentation transcript:

1 2 3 4 5 6 Logarithms 1 my dear Watson

Question 1 log232 = 5 ? log21 = 0 ? Go Back >

Question 2 1 8 log2( ) = -3 ? ? log ( 8) = -1 1 8 Go Back >

Question 3 A population of rabbits becomes 10 times larger every year. If there’s one (pregnant) bunny to start with, how many years will it be until there’s 123,456 rabbits? ? 10y = 123456 So y = log10123456 = 5.09 Go Back >

logaa2b2 = 2 + 2logab Question 4 ? Express in terms of logab. Go Back >

log2( ) = 3log2a + log2a - 3 Question 5 a3b 8 ? Express in terms of log2a and log2b. a3b 8 log2( ) = 3log2a + log2a - 3 ? Go Back >

log√a( a3 ) = 6 Question 6 ? Express in terms of log2a and log2b. Go Back >