Question

Tìm số tự nhiên n biết :

3⁶⁴<n⁴⁸<5⁷²

Answer 1

\(3^{64}< n^{48}< 5^{72}\)

=>\(\left(3^8\right)^8< \left(n^6\right)^8< \left(5^9\right)^8\)

=>\(3^8< n^6< 5^9\)

=>\(6561< n^6< 1953125\)

=>\(n\in\left\{5;6;7;8;9;10;11\right\}\)