Question

determinati numarul natural n stiind ca 2la puterea n+2la puterea n =2la puterea32 plssss dau coronita!!!!!!!

Answer 1

Explicație pas cu pas:

Bună, sper ca te am ajutat!!!!!

Answer 2

Răspuns:

Explicație pas cu pas:

$\bf 2^{n} +2^{n}=2^{32}$

$\bf 2\cdot 2^{n}=2^{32}$

$\bf 2^{1}\cdot 2^{n}=2^{32}$

$\bf 2^\red{{1+n}}=2^\red{{32}} \implies 1+n = 32\implies \pink{\underline{~n = 31~}}$

$\green{\bf Verificare:}$

$\bf 2^{31} +2^{31}=2^{31}\cdot(2^{31-31}+2^{31-31})=$

$\bf 2^{31}\cdot(2^{0}+2^{0})=2^{31}\cdot(1+1)=$

$\bf =2^{31}\cdot 2 =2^{31+1}=\green{2^{32}}~(adevarat)$