Logarithms Logarithms Year 11 Maths Extension
Dec 29, 2015
LogarithmsLogarithmsYear 11 Maths Extension
LogarithmsLogarithms
ExamplesExamples
AnswersAnswers
What Similarity Can you see What Similarity Can you see in the Next slide to do with in the Next slide to do with the Logarithm Laws?the Logarithm Laws?
Logarithm LawsLogarithm Laws
CompareCompare
Logarithm LawsLogarithm LawsThe index laws can be used to
establish corresponding rules for calculations involving logarithms.
It is important to remember that each rule works only if the base, a, is the same for each term.
Solve The following Solve The following Questions (“,)Questions (“,)
AnswersAnswers
SolveSolve
AnswerAnswer
SolveSolve
Answer (a)Answer (a)
Answer (b)Answer (b)
Answer (c)Answer (c)
CALCULATOR TIME!!!!CALCULATOR TIME!!!!
Logarithms to the base 10Logarithms to the base 10
Solving logarithmic Solving logarithmic equationsequations
ExamplesExamples
ExamplesExamples
ExamplesExamples
ExamplesExamples
Points to Remember!!!!Points to Remember!!!!
logarithmic graphslogarithmic graphs
Note your Rules!!!!Note your Rules!!!!A > 0 and m, n > 0A > 0 and m, n > 0
Plotting logarithmic Plotting logarithmic graphsgraphs steps for plotting this
graph:
xy 10log
xay yLogTheOfInversex 10...
y 10y x x , y-1 10-1 1/10 (1/10 , -1)
0 100 1 (1 , 0)
1 101 10 (10 , 1)
Plotting logarithmic Plotting logarithmic graphsgraphs
y 10y x x , y-1 10-1 1/10 (1/10 , -1)
0 100 1 (1 , 0)
1 101 10 (10 , 1)
ExampleExampley 2y x x , y-1 2-1 1/2 (1/2 , -1)
0 20 1 (1 , 0)
1 21 2 (2 , 1)
2 22 4 (4 , 2)