A Nice Math Olympiad Exponential Equation | Can you solve?

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  • Опубликовано: 13 дек 2024

Комментарии • 10

  • @RichieSarabia-ms2er
    @RichieSarabia-ms2er 13 часов назад +1

    Godbless you sir watching from Philippines

    • @SALogics
      @SALogics  5 часов назад +1

      Thank you so much! ❤

  • @iristao9557
    @iristao9557 20 часов назад +1

    Thank you!

    • @SALogics
      @SALogics  5 часов назад +1

      You're welcome! ❤

  • @فیروزاهنگری
    @فیروزاهنگری 3 часа назад

    1/(2^x)=x+3 , 2^x=1/(x+3)
    taking ln , xln2=0-ln(x+3)=-ln(x+3)
    x=-1 and x+3=2 result x=-1

  • @Murasaki_no_Hato
    @Murasaki_no_Hato 11 часов назад +1

    I Was able to solve this by randomly substituting values though my method is not a proper way to solve.
    X cannot be greater than 0 as otherwise the left-hand side (L.H.S) < 1 (since the denominator is greater than 1), and if X>0, R.H.S>3
    Then X < 0.
    X also must be greater than -3 (X > -3) as we can not get a negative answer in the L.H.S (in the R.H.S we get a negative value if X < -3) by exponentiating a positive number.
    So we have:
    X < 0
    X > -3
    Now by substituting, we can get quite easily X = -1.
    This is not a proper method though especially when X is not an integer.

    • @SALogics
      @SALogics  5 часов назад +1

      Very nice! ❤

  • @borisjeud8464
    @borisjeud8464 7 минут назад

    ...(1/2)^x

  • @kamdeoray3573
    @kamdeoray3573 10 часов назад +1

    -1

    • @SALogics
      @SALogics  5 часов назад +1

      Very nice! ❤