$${ 6 }^{ x-2 } - { \left( \frac{ 1 }{ 6 } \right) }^{ 3-x } + { 36 }^{ \frac{ x-1 }{ 2 } } =246$$
$x=-\frac{2\pi n_{1}i}{\ln(6)}+4$
$n_{1}\in \mathrm{Z}$
$x=4$