Math Olympiad Question 𝟐^𝒙=𝒙^𝟑𝟐 𝒙=?

Поделиться
HTML-код
  • Опубликовано: 10 сен 2024
  • Math Olympiad Question 𝟐^𝒙=𝒙^𝟑𝟐 𝒙=?

Комментарии • 1

  • @elunedssong8909
    @elunedssong8909 Месяц назад

    Great stuff. I realized that the form of the question neccesitates that X (on the right half) be in the form 2^y.
    2^x = (2^y)^32
    which gives us that the log2 of x must be 32 times smaller than x, log2 both sides, 32y=x
    Then checked 2^6/6, 2^8/8 till i found 32 (as odd numbers cannot produce even ratios and X has to be above 32 minimally) and had the answer.