Răspuns:
Verificam daca [tex]14^5^0 < 2^2^0^0[/tex]
[tex]log_{14}(14^5^0)<log_{14}(2^2^0^0)[/tex]
[tex]50log_{14}(14)<200log_{14}(2)[/tex]
[tex]log_{14} (14) = 1[/tex] => 50*1 < [tex]200log_{14}(2)[/tex]
[tex]200log_{14}(2)[/tex] este aprox. 52,5
50 < 52.5 Adevarat