Viral Math Olympiad problem | India Junior Math Olympiad Question

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[@joseeoliviero6078]

That was a very confusing and messy way of doing the problem. I did it in 5 lines with the same answer and did not have use a substitution

[@prollysine]

n^n^157^157=157^157 , n^157^n^157=157^157 , -> n^157=157 , ln(n)=ln157/157 , n=e^(ln157/157) , n~ 1.03273 ,
test , n^(n^157) , -> , (n^157)=1.03273^157 , 1.03273^157=157 , n^(n^157) -> 1.03273^(157)=157 , OK , solu. , n=~ 1.03273 ,

[@user-qy8re3yx3d]

n=157^1/157. Решается двойным логарифмированием по основанию 157.

[@WorldwideBibleClass-qr9jk]

Cul🎉❤

[@olegaznabaev4062]

1

[@laobernadus5743]

N = 1