Logarithms Year 11 Maths Extension. Logarithms Examples

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Transcript of Logarithms Year 11 Maths Extension. Logarithms Examples

  • LogarithmsYear 11 Maths Extension

  • Logarithms

  • Examples

  • Answers

  • What Similarity Can you see in the Next slide to do with the Logarithm Laws?

  • Logarithm Laws

  • Compare

  • Logarithm 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 Questions (,)

  • Answers

  • Solve

  • Answer

  • Solve

  • Answer (a)

  • Answer (b)

  • Answer (c)

  • CALCULATOR TIME!!!!

  • Logarithms to the base 10

  • Solving logarithmic equations

  • Examples

  • Examples

  • Examples

  • Examples

  • Points to Remember!!!!

  • logarithmic graphs

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

  • Plotting logarithmic graphs steps for plotting this graph:

    y10yxx , y-110-11/10(1/10 , -1)01001(1 , 0)110110(10 , 1)

  • Plotting logarithmic graphs

    y10yxx , y-110-11/10(1/10 , -1)01001(1 , 0)110110(10 , 1)

  • Example

    y2yxx , y-12-11/2(1/2 , -1)0201(1 , 0)1212(2 , 1)2224(4 , 2)