Răspuns: [tex]\boxed{\boxed{\bf n = 15}}[/tex]
Explicație pas cu pas:
Salutare!
[tex]\bf 2^{3n+1} = 4^{23}[/tex]
[tex]\bf 2^{3n+1} = (2^{2})^{23}[/tex]
[tex]\bf 2^{3n+1} = 2^{2\cdot23}[/tex]
[tex]\bf 2^{3n+1} = 2^{46}[/tex]
[tex]\bf \implies 3n+1 = 46\implies 3n=46-1 \implies 3n = 45~~\bigg|:3\implies \boxed{\boxed{\bf n =15}}[/tex]
==pav38==
