Question

$2^{x - 1} + 2 ^{x + 2} = 96$

POR favor quiero la solucion

Answer 1

$2^{x-1} +2^{x+2} =96$

$2^{x}. 2^{-1} +2^{x}.2.^{2} =96$

$2^{x}.( 2^{-1} +2^2) =96$

$2^{x}.( \frac{1}{2} +4) =96$

$2^{x}.( \frac{9}{2}) =96$

$2^{x} =32$

$2^{x} = 2^{5}$

x = 5