Răspuns: [tex]\color{orangered}\Large\boxed{\bf n =2}[/tex]
Explicație pas cu pas:
Buna!
[tex]\large\bf 3^{n}+3^{n+1}=[/tex]
[tex]\large\bf 3^{n}\cdot(3^{n-n}+3^{n+1-n})=[/tex]
[tex]\large\bf 3^{n}\cdot(3^{0}+3^{1})=[/tex]
[tex]\large\bf 3^{n}\cdot(1+3)=[/tex]
[tex]\large\bf 3^{n}\cdot 4=[/tex]
[tex]\large\bf 3^{n}\cdot 2^{2};~ n\neq 0\implies \Large\boxed{\bf n = 2}[/tex]
[tex]\large\text{Cel mai mic nr natural nenul pt care}~3^{n}+3^{n+1}~ \text{e pp atunci cand}~\Large\boxed{n= 2}[/tex]
#copaceibrainly
