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Logarithms Year 11 Maths Extension. Logarithms Examples.

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Logarithms Logarithms Year 11 Maths Extension
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Page 1: Logarithms Year 11 Maths Extension. Logarithms Examples.

LogarithmsLogarithmsYear 11 Maths Extension

Page 2: Logarithms Year 11 Maths Extension. Logarithms Examples.

LogarithmsLogarithms

Page 3: Logarithms Year 11 Maths Extension. Logarithms Examples.

ExamplesExamples

Page 4: Logarithms Year 11 Maths Extension. Logarithms Examples.

AnswersAnswers

Page 5: Logarithms Year 11 Maths Extension. Logarithms Examples.

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?

Page 6: Logarithms Year 11 Maths Extension. Logarithms Examples.

Logarithm LawsLogarithm Laws

Page 7: Logarithms Year 11 Maths Extension. Logarithms Examples.

CompareCompare

Page 8: Logarithms Year 11 Maths Extension. Logarithms Examples.

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.

Page 9: Logarithms Year 11 Maths Extension. Logarithms Examples.

Solve The following Solve The following Questions (“,)Questions (“,)

Page 10: Logarithms Year 11 Maths Extension. Logarithms Examples.

AnswersAnswers

Page 11: Logarithms Year 11 Maths Extension. Logarithms Examples.

SolveSolve

Page 12: Logarithms Year 11 Maths Extension. Logarithms Examples.

AnswerAnswer

Page 13: Logarithms Year 11 Maths Extension. Logarithms Examples.

SolveSolve

Page 14: Logarithms Year 11 Maths Extension. Logarithms Examples.

Answer (a)Answer (a)

Page 15: Logarithms Year 11 Maths Extension. Logarithms Examples.

Answer (b)Answer (b)

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Answer (c)Answer (c)

Page 17: Logarithms Year 11 Maths Extension. Logarithms Examples.

CALCULATOR TIME!!!!CALCULATOR TIME!!!!

Page 18: Logarithms Year 11 Maths Extension. Logarithms Examples.
Page 19: Logarithms Year 11 Maths Extension. Logarithms Examples.

Logarithms to the base 10Logarithms to the base 10

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Solving logarithmic Solving logarithmic equationsequations

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ExamplesExamples

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ExamplesExamples

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ExamplesExamples

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ExamplesExamples

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Points to Remember!!!!Points to Remember!!!!

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logarithmic graphslogarithmic graphs

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Note your Rules!!!!Note your Rules!!!!A > 0 and m, n > 0A > 0 and m, n > 0

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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)

Page 29: Logarithms Year 11 Maths Extension. Logarithms Examples.

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)

Page 30: Logarithms Year 11 Maths Extension. Logarithms Examples.

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)

Page 31: Logarithms Year 11 Maths Extension. Logarithms Examples.

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