[tex]\it log_5 4\ \textless \ log_5 5 \Longrightarrow log_5 4 \ \textless \ 1 \ \ \ \ \ (1)
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\sqrt[\it 4]{\it3} = 3^{\frac{1}{4}}\ \textgreater \ 1^{\frac{1}{4}} \Longrightarrow \sqrt[\it 4]{\it3} \ \textgreater \ 1 \ \ \ \ \ (2)
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\sqrt{\it3} = 3^{\frac{1}{2}}\ \textgreater \ 1^{\frac{1}{2}} \Longrightarrow \sqrt{3} \ \textgreater \ 1 \ \ \ \ \ (3)
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\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]
[tex]\it (1),\ (2),\ (3),\ (4) \Longrightarrow log_54\ \textless \ \sqrt[4]{\it 3} \ \textless \ \sqrt3[/tex]
