Question

Ordonati crescator numerele √3, log(5)4, √3 de ordin 4

Answer 1

√3 ridicat la puterea a patra este: (√3)⁴=3²=9
$\sqrt[4]{3}$ ridicat la puterea a patra este:$\sqrt[4]{3}^{4}=3$
log(5) 4=lg 4/lg 5
lg 4/lg 5 <1 daca ridicam la a patra:
(lg 4/lg 5)⁴ <1⁴
(lg 4/lg 5)⁴ <1

Deci ordinea ar fi: log(5) 4<$\sqrt[4]{3}$<√3