Solving a 'Germany' Math olympiad question

[@PauloPereira-uw1wo]

Excelente!

[@AsadInternationalAcademy]

thank you so much

[@AsadInternationalAcademy]

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[@gopagon2114]

C=256

[@AsadInternationalAcademy]

thanks dear

[@marcgriselhubert3915]

c^32 est une puissance de 2 donc le seul nombre premier pouvant diviser c est 2. Par conséquent c = 2^k pour k un certain naturel D'où (2^k)^32 = 2^(2^k), cad 2^(32.k) = 2^(2^k), cad 32.k = 2^k, cad k = 2^(k-5). On remarque d'abord que cette équation n'a pas de solution pour k=6, alors celle-ci est unique. Comme k = 8 est manifestement solution, alors c'est la seule. Bilan: c = 2^8 = 256 est la seule solution de l'équation donnée.

[@AsadInternationalAcademy]

thank you so much dear

[@AsadInternationalAcademy]

Watch 110+ most important olympiad questions with solutions by just clicking on the link below kzbin.info/aero/PLybCHBiqtqWP-TrcsG21MXXxlknROi514 Don't forget to share this link with your classmates so that they also have a benefit of it. Please, like and subscribe this channel including pressing bell icon to get the notification of new video!