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[tex]Comparati:
3^{257} si 2^{285} [/tex]


Răspuns :

3^257>2^285...................
[tex] 3^{257} \ \textgreater \ 3^{228} =[(3)^4]^{57}=(81)^{57}; 2^{285}=(2^5)^{57} =32^{57}. [/tex]
Deci [tex] 3^{257} \ \textgreater \ 2^{285} [/tex]