$$3^{3x}\times(9)^{2}=(8)^{3}$$
$x=3\log_{3}\left(2\right)-\frac{4}{3}\approx 0.559455927$
$x=\frac{2\pi n_{1}i}{3\ln(3)}+3\log_{3}\left(2\right)-\frac{4}{3}$
$n_{1}\in \mathrm{Z}$