Question

Stiu ca nu e asa greu exercitiul

Answer 1

$9^{ \frac{x+2}{2} } + 3^{x+1} = 36$

$9^{ \frac{x+2}{2} } = 3^{2* \frac{x+2}{2} } = 3^{x+2}$
$3^{x+2} = 3^{x+1+1} = 3^1 * 3^{x+1}$

$3^1 * 3^{x+1} + 3^{x+1} = 36$
$3^{x+1}(3^1+1) = 36$
$4*3^{x+1}=36$ | : 4
$3^{x+1} = 9$
$3^{x+1} = 3^2$
x+1=2 => x = 1