2^{\left(x+1\right)}\cdot 3^{\left(x+1\right)}=36

2^{\left(x+1\right)}\cdot 3^{\left(x+1\right)}=36

\(2^{\left(x+1\right)}\cdot 3^{\left(x+1\right)}=36\\ 2^{\left(x+1\right)}\cdot 3^{\left(x+1\right)}=4*9\\ 2^{\left(x+1\right)}\cdot 3^{\left(x+1\right)}=2^2*3^2\\ so\\ x+1=2\\ x=1\)