5'4 Using logarithms - PowerPoint PPT Presentation

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5'4 Using logarithms

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Rewrite the following as a single logarithm with a coefficient of one. SFX using IFF ... Use change of base to report your answer in natural logs! Moving into 5.5 ... – PowerPoint PPT presentation

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Title: 5'4 Using logarithms


1
5.4 Using logarithms
  • Properties of logs
  • Product/Sum Law
  • Quotient/Difference Law
  • Power Rule
  • Change of Base rule
  • Inverse function facts

2
Product/Sum Law
  • Examples
  • log xyz log x log y log z

3
Quotient/Difference Law
  • Examples

4
Power Rule
  • Example

5
Change of Base formula
  • Example

6
Inverse function facts
Examples
7
Popper 22, Q1
8
Problems
  • Rewrite each of the following so you have only
    answers that contain sums/differences or
    multiples of basic logarithmic expressions

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Popper 22, Q2
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Now, backwards
  • Rewrite the following as a single logarithm with
    a coefficient of one

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SFX using IFF
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Popper 22, Q4
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  • Use change of base to report your answer in
    natural logs!

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Moving into 5.5
  • Note that the argument must be positive!
  • Do it formally with IFF

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Popper 22, Q4
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Another challenge
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Popper 22, Q5
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