$$\sqrt[ 3 ]{ { 5 }^{ 2x-3 } } = \frac{ 5 }{ \sqrt[ 4 ]{ 5 } }$$
$x=\frac{\pi n_{1}i}{\ln(5)}+\frac{21}{8}$
$n_{1}\in \mathrm{Z}$
$x = \frac{21}{8} = 2\frac{5}{8} = 2.625$
