$${ 2 }^{ X+2 } \times 5+ { 2 }^{ X-1 } = \frac{ 13 }{ 16 }$$
$X=\frac{2\pi n_{1}i}{\ln(2)}+\log_{2}\left(\frac{13}{328}\right)$
$n_{1}\in \mathrm{Z}$
$X=\log_{2}\left(\frac{13}{328}\right)\approx -4.657112286$
