Question

Determinati nr. natural 'n' stiind ca : 2 la puterea n + 3 + 2 la puterea n + 1 + 2 la n = 88

Answer 1

$2^{n+3}$+$2^{n+1}$+$2^{n}$=88
$2^{n}$(2³+2+1)=88

$2^{n}$x11=88
$2^{n}$=88:11

$2^{n}$=8
$2^{n}$=2³
n=3