Question

Rezolvati ecuatile: a).2la puterea n + 2 la puterea n+2 +2 la puterea n+1=56

Answer 1

2^n+2^(n+2)+2^(n+1)=56
2^n(1+2^2+2^1)=56
2^n(1+4+2)=56
2^n * 7=56
2^n=8
2^n=2^3
n=3

Answer 2

$2^n+2^{n+2}+2^{n+1}=56 \\ 2^n(1+2^2+2^1)=56 \\ 2^n(1+4+2)=56 \\ 2^n(5+2)=56 \\ 2^n \cdot 7=56 \\ 2^n=56:7 \\ 2^n=8 \\ 2^n=2^3 \\ n=3$