$$( \frac { 5 } { 3 } ) ^ { 2 x - 1 } = ( \frac { 5 } { 3 } ) ^ { 6 } \times ( \frac { 5 } { 3 } ) ^ { - 3 }$$
$x=2$
$x=\frac{\pi n_{1}i}{\ln(\frac{5}{3})}-\log_{\frac{5}{3}}\left(\frac{9}{25}\right)$
$n_{1}\in \mathrm{Z}$