$$(\frac{8}{5})^{5}\times(\frac{9}{4})^{5}=(2)^{x}$$
$x=5\log_{2}\left(\frac{18}{5}\right)\approx 9.239984533$
$x=\frac{2\pi n_{1}i}{\ln(2)}+\log_{2}\left(\frac{1889568}{3125}\right)$
$n_{1}\in \mathrm{Z}$
