Russian | Can you solve this ? | Math Olympiad

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  • Опубликовано: 21 авг 2024
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Комментарии • 5

  • @prollysine
    @prollysine Месяц назад +1

    log/3/(x)* log/3/(x)= log/3/(81) , 81=3^4 , log/3/81/=4 , (log/3/(x))^2=4 , sqrt((log/3/(x))^2)=sqrt(4) , ...only positive number... ,
    log/3/(x)=2 , 3^2=9 , x= 9 , test , 9^(log/3/9)=81 , ___ log/3/9=2 , because 3^2=9 , -> 9^2=81 , same , OK ,

  • @kevinmadden1645
    @kevinmadden1645 Месяц назад

    Why not just log both sides to base three immediately?

    • @Polyhymnio
      @Polyhymnio Месяц назад

      That's what I thought, logs are base 3
      log²x = log3⁴ =4log3 = 4
      logx = ±2
      x ∊ {1/9, 9}