$$4^{2x-1}-16^{x-4}=384$$
$x=\frac{\pi n_{1}i}{2\ln(2)}-\frac{\log_{2}\left(5461\right)}{4}+\frac{23}{4}$
$n_{1}\in \mathrm{Z}$
$x = \frac{-\log_{2} {(5461)} + 23}{4} \approx 2.64626264$
