Question

Ordonati crescator numerele:
Radical din 3
Radical de ordin 4 sin 3
Logaritm in baza 5 din 4
Ajutor, dau funda!!

Answer 1

[tex]\it log_5 4\ \textless \ log_5 5 \Longrightarrow log_5 4 \ \textless \ 1 \ \ \ \ \ (1) \\ \\ \sqrt[\it 4]{\it3} = 3^{\frac{1}{4}}\ \textgreater \ 1^{\frac{1}{4}} \Longrightarrow \sqrt[\it 4]{\it3} \ \textgreater \ 1 \ \ \ \ \ (2) \\ \\ \sqrt{\it3} = 3^{\frac{1}{2}}\ \textgreater \ 1^{\frac{1}{2}} \Longrightarrow \sqrt{3} \ \textgreater \ 1 \ \ \ \ \ (3) \\ \\ \dfrac{1}{4} \ \textless \ \dfrac{1}{2} \Longrightarrow 3^{\frac{1}{4}} \ \textless \ 3^{\frac{1}{2}} \Longrightarrow \sqrt[4]{\it 3} \ \textless \ \sqrt3 \ \ \ \ \ (4) [/tex]

$\it (1),\ (2),\ (3),\ (4) \Longrightarrow log_54\ \textless \ \sqrt[4]{\it 3} \ \textless \ \sqrt3$