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3 la putera 7x+5={(3 la putera 2)totul la puterea 4)}totul la putera 5

Răspuns :

[tex]3^{7x+5}=[(3^2)^4]^5 =\ \textgreater \ 3^{7x+5}=(3^8)^5=\ \textgreater \ 3^{7x+5}=3^{40} =\ \textgreater \ \\ =\ \textgreater \ 7x+5=40 =\ \textgreater \ 7x = 40 - 5 =\ \textgreater \ 7x = 35 =\ \textgreater \ x =5[/tex]