USA Nice Olympiad Exponential Equation | Solve for X

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  • Опубліковано 26 лис 2024

КОМЕНТАРІ • 20

  • @RyanLewis-Johnson-wq6xs
    @RyanLewis-Johnson-wq6xs 2 місяці тому +5

    5^x*5^x*5^x=10 x=Log[125,2]+1/3=Log[125,2]+0.3 recurring=(1+Log[5,2])/3=Log[5,Surd[2,3]]+0.3 recurring

    • @Sci-Marvels
      @Sci-Marvels 2 місяці тому

      Interesting approach! It’s always fascinating to see different methods to solve these kinds of equations. Thanks for sharing your solution!

  • @KUS-2024
    @KUS-2024 2 місяці тому +2

    5^(3X)=10
    3X×log(5)=log(10)=1
    X×log(5)=1/3
    X=1/(3×log(5))

  • @knobjjbnlknlkkjbnkjbjblnjblkjn
    @knobjjbnlknlkkjbnkjbjblnjblkjn 2 місяці тому +1

    10/21 is also right

  • @abardi2142
    @abardi2142 2 місяці тому +2

    x=1/(3*Log5)

  • @mayaq8324
    @mayaq8324 2 місяці тому +2

    Using my calculator I can confirm that 10 = 10

  • @miracbarsapaydn650
    @miracbarsapaydn650 2 місяці тому +1

    X =log(5)[10] / 3

  • @user-wk6je7pi4h
    @user-wk6je7pi4h 2 місяці тому

    5^1.432=10

  • @cn_minijacob3046
    @cn_minijacob3046 2 місяці тому

    Is this really usa's olympiad math level ?

  • @its_anonymous490
    @its_anonymous490 2 місяці тому

    Put x=2/3 and see the equation satisfy

  • @Mike--K
    @Mike--K 2 місяці тому

    I must be missing something very important because this did not appear to be a difficult problem. (5^x)( 5^x)(5^x) = 10 can be written as (5 * 5 * 5)^x = 10, or 125^x = 10. Taking the log of both sides gives xlog(125) = log(10). Since log(10) = 1, the equation can be written as xlog(125) = 1. Divide both sides by log(125) and the equation can be written as x = 1/log(125).

    • @balanbalan82
      @balanbalan82 2 місяці тому +1

      the answer is coming as 1 not 10

    • @balanbalan82
      @balanbalan82 2 місяці тому +1

      i used the cal

    • @Sci-Marvels
      @Sci-Marvels 2 місяці тому

      You're absolutely correct! Simplifying the equation in this way makes it much more straightforward. It's great to see how different approaches can lead to the same result. Thanks for breaking it down so clearly! 👍

  • @ibrahimbaig-ro1tp
    @ibrahimbaig-ro1tp 2 місяці тому

    x is 0.96/2

  • @NEELUSINGH-gn9jg
    @NEELUSINGH-gn9jg 2 місяці тому +2

    Hello dear sir

  • @TheTinkywinky3
    @TheTinkywinky3 2 місяці тому +1

    Olympiad??? Are you kidding? I could solve it in mind, and you don't need therefor over 6 Min.

  • @Anushka2470
    @Anushka2470 2 місяці тому

    😂 even 8 standard kid can solve this