Răspuns:
Explicație pas cu pas:
[tex]\bf 2^{n} +2^{n}=2^{32}[/tex]
[tex]\bf 2\cdot 2^{n}=2^{32}[/tex]
[tex]\bf 2^{1}\cdot 2^{n}=2^{32}[/tex]
[tex]\bf 2^\red{{1+n}}=2^\red{{32}} \implies 1+n = 32\implies \pink{\underline{~n = 31~}}[/tex]
[tex]\green{\bf Verificare:}[/tex]
[tex]\bf 2^{31} +2^{31}=2^{31}\cdot(2^{31-31}+2^{31-31})=[/tex]
[tex]\bf 2^{31}\cdot(2^{0}+2^{0})=2^{31}\cdot(1+1)=[/tex]
[tex]\bf =2^{31}\cdot 2 =2^{31+1}=\green{2^{32}}~(adevarat)[/tex]
