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