A very nice Math Olympiad question | Can you solve for a and b? | Algeria

Поділитися
Вставка
  • Опубліковано 14 лис 2024

КОМЕНТАРІ • 4

  • @sebastianramirez2408
    @sebastianramirez2408 Місяць тому +1

    If you divide by 2 5 times you get an odd number which tells you that 2^{a-5}=1 or 2^{b-5}=1. This means either a=5 or b=5. Computing 2^5=32 makes it obvious that a=5 cannot work as 32

  • @saidelmenjaoui4216
    @saidelmenjaoui4216 Місяць тому

    2^a - 2^b. = 2⁵ . 63
    On simplifie par 2⁵
    2^(a-5) - 2^(b-5). = 63 = 64 - 1
    =. 2⁶ - 2⁰
    D' où a-5 = 6, donc a = 11
    b-5 = 0, donc b = 5