3.
Il dam in factor pe [tex]3^{452}[/tex] :
[tex]3^{452} (3^{2} -3-1) = 3^{452} * 5[/tex]
[tex]5^{340} =5*5^{339}[/tex]
Deci putem compara pe [tex]3^{452} cu 5^{339}[/tex]
[tex]3^{452} =3^{4*113} =(3^{4})^{113} =81^{113} \\[/tex]
[tex]5^{339} =5^{3*113} =(5^{3} )^{113}=125^{113}[/tex]
deoarece 81<125 atunci si [tex]81^{113} <125^{113}[/tex]
