Log Prove Without Calculator

Discussion in 'Other Pre-University Math' started by nycmathguy, Nov 6, 2021.

  1. nycmathguy

    nycmathguy

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    20211105_164346.jpg
     
    nycmathguy, Nov 6, 2021
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  2. nycmathguy

    MathLover1

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    1/log(2,pi)+log(5,pi)>2

    use the rule:
    log(b,x) = log(k,x)/log(k,b)

    log(2,pi)= log(pi,pi)/log(pi,2)............log(pi,pi)=1
    log(2,pi)= 1/log(pi,2).
    log(5,pi)= 1/log(pi,5)


    1/( 1/log(pi,2))+(1/log(pi,5))>2

    log(pi,2)+log(pi,5))>2

    log(pi,2*5)>2

    log(pi,10)>2->true
     
    MathLover1, Nov 6, 2021
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    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    Nice job like always. It is easier, however, to read your answers on paper just like I post my threads.
     
    nycmathguy, Nov 7, 2021
    #3
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