[tex] 9^{ \frac{x+2}{2} } + 3^{x+1} = 36[/tex]
[tex]9^{ \frac{x+2}{2} } = 3^{2* \frac{x+2}{2} } = 3^{x+2}[/tex]
[tex]3^{x+2} = 3^{x+1+1} = 3^1 * 3^{x+1}[/tex]
[tex]3^1 * 3^{x+1} + 3^{x+1} = 36[/tex]
[tex]3^{x+1}(3^1+1) = 36[/tex]
[tex]4*3^{x+1}=36[/tex] | : 4
[tex]3^{x+1} = 9 [/tex]
[tex]3^{x+1} = 3^2[/tex]
x+1=2 => x = 1
