Solving a 'Stanford' University entrance exam | x=?

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  • Опубліковано 13 січ 2025

КОМЕНТАРІ • 44

  • @GreenBowYT
    @GreenBowYT 17 днів тому +9

    My dumbass: x = log25(250)

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  17 днів тому

      ok

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  17 днів тому

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    • @casomai
      @casomai 15 днів тому

      As an italian. Is simple whitout a calculator, is immediatly: x= log25(250). Why is a trouble for you?

  • @mokouf3
    @mokouf3 17 днів тому +4

    x = log(250) / log(25)
    = (log(2) + 3log(5))/2log(5)
    This video can be a short video under 1 minute.

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  16 днів тому

      fantastic job, thanks

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  16 днів тому

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  • @AlexanderSemashkevich
    @AlexanderSemashkevich 18 днів тому +2

    x=log250/log25=(log25+log10)/log25=1+1/(2log5)≈1+1/(2×0.699)≈2398/1398≈1.7153.
    Deviation is about 0.00003.
    25^1.7153≈249.97.

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  17 днів тому

      ok

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  17 днів тому

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  • @pietrorossi9562
    @pietrorossi9562 18 днів тому

    That is pretty cool

  • @andresrebolledobanquet1924
    @andresrebolledobanquet1924 10 днів тому

    25x = 250
    x = log 250/log25
    x = 1.71534
    25^1.71534= 250

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  10 днів тому

      beautiful method

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  10 днів тому

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  • @karm76
    @karm76 15 днів тому

    25^(x-1) = 250/25
    5^(2x-2)-1 = 10/5
    2x-3 = (log2/log5 )
    x = ((log 2/log 5) + 3) / 2

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  15 днів тому

      wonderful dear, thanks

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  15 днів тому

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  • @flaviosousa4463
    @flaviosousa4463 16 днів тому +1

    ❤❤❤

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  16 днів тому

      thanks

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  16 днів тому +1

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  • @rey-dq3nx
    @rey-dq3nx 16 днів тому +5

    How is this Stanford U entrance exam? This is not even a high school entrance exam

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  15 днів тому

      this is math olympiad question appeared in exam

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  15 днів тому

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    • @casomai
      @casomai 15 днів тому

      But it's simple. And in math y had f---😅 whitout calculated.

    • @casomai
      @casomai 15 днів тому

      All number whit exponent x =b x= loga( b)

  • @dinoslama8243
    @dinoslama8243 13 днів тому

    x=3/2

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  13 днів тому

      ok

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  13 днів тому

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  • @JeanZSoftLock
    @JeanZSoftLock 13 днів тому

    Excelent video 10/10

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  13 днів тому

      thank you so much

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  13 днів тому

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  • @yanssala2214
    @yanssala2214 15 днів тому

    = 1,71533...

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  14 днів тому

      ok

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  14 днів тому

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  • @fireblast3740
    @fireblast3740 18 днів тому

    Meh... 25^(log_(25)250)=250. Logic.

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  17 днів тому

      fantastic

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  17 днів тому

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    • @GreenBowYT
      @GreenBowYT 17 днів тому

      @@fireblast3740 Real

  • @walterwen2975
    @walterwen2975 17 днів тому

    Stanford University entrance exam: 25ˣ = 250; x =?
    log25ˣ = log250, x = log₂₅250 = log₂₅25 + log₂₅10 = 1 + 0.715 = 1.715
    The calculation was achieved on a smartphone with a standard calculator app
    Answer check:
    x = log₂₅250; Confirmed as shown
    Final answer:
    x = log₂₅250 = 1.715

  • @ConradoPeter-hl5ij
    @ConradoPeter-hl5ij 13 днів тому

    25ⁿ=250=25(10)=5²(2×5)=5³2
    => (5²)⁰=5³2
    => 5²ⁿ/5³=2
    => 5²ⁿ-³=2
    => log[5^(2n-3)]=log2
    => (2n-3)log5=log2
    => 2n-3=log2/log5
    => 2n-3=(0,3010)/(0,6989)
    => 2n-3≈ 3010/6989 ≈3000/7000
    => 2n-3≈ 3/7= 0,4285714...
    => 2n≈ 3,4285714...
    => n≈ 1,7142857...
    => n ≈ 1,715
    25^(1,715)≈249,73 (good approx.)
    249,73 ≈ 250

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  13 днів тому

      good

    • @AsadInternationalAcademy
      @AsadInternationalAcademy  13 днів тому

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