7.5 Modelling data Using logarithmic · PDF file07.06.2015 · 7.5 Modelling data...

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  • 7.5ModellingdataUsinglogarithmicFunctions.notebook

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    7.5 ModellingDataUsing

    LogarithmicFunctionsPages488499

    Review:Lawsofexponents

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    Sincelogarithmsareexponents,theyalsohavesimilarlaws:

    1.ProductLaw

    2.QuotientLaw

    3.PowerLaw

    **Note:Wewillapplylaw#3tovariousproblemstocalculatetheresultalgebraically.

  • 7.5ModellingdataUsinglogarithmicFunctions.notebook

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    GraphicalApproachtoSolvingLogarithmicFunctions:

    Page488

  • 7.5ModellingdataUsinglogarithmicFunctions.notebook

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  • 7.5ModellingdataUsinglogarithmicFunctions.notebook

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    Answers

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    (SelectSTAT,CALC,and9:LnReg)

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    Page489

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    Example1(Algebraically):Usingthepowerlawoflogarithmsandexponentialfunction,calculatethet.5flashdurationgivenarateofdecreaseof18.13%/.02s.

  • 7.5ModellingdataUsinglogarithmicFunctions.notebook

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    Page491

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    Example2(Algebraically):Usingthepowerlawoflogarithmsandexponentialfunction,repeatb)andc)givenarateofdecreaseof11%/h.

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    Page493

    Determinethesolution:a)Graphicallyusingthelogarithmicregressionforexample2.b)Algebraicallyusingthedeterminedexponentialequationandthepowerlawoflogarithms.

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    AdditionalExercises:Usingtheexponentialfunctiondeterminedandthepowerlawoflogarithmsredothefollowingexercisesfromsection7.3and7.5.Comparewithpreviouslyfoundanswers.

    Section7.3#5page462Rateofincrease16%per10yearsrepeatd)

    #6page462Growthrateof60%per7yearsrepeatd)

    #9page463Rateofdecrease20%peryearrepeatc)

    #11page464Decayrateof5%perminuterepeatb)

    #14page465Growthrate10%perweekrepeatb)

    #17page467Rateofdecreaseis3%pergelrepeatc)

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    Section7.5(determinetheexponentialequationfirst)#5page496Rateofdecrease0.02%permetrerepeatd)ande)

    #6page497rateofdecreaseis50%per5760yearswithinitialpercentof100%repeatb)

    #7Page497rateofincreaseis4.5%/yearrepeatc)

    Page 1: Aug 9-10:39 AMPage 2: Aug 9-10:45 AMPage 3: Aug 9-10:49 AMPage 4: Aug 9-10:51 AMPage 5: Aug 9-10:53 AMPage 6: Aug 9-11:28 AMPage 7: Aug 9-11:33 AMPage 8: Aug 9-11:47 AMPage 9: Aug 12-8:19 AMPage 10: Aug 12-8:20 AMPage 11: Aug 12-8:30 AMPage 12: Aug 12-9:43 AMPage 13: Aug 12-9:49 AM