$$2^{3x-5}; a^{x-2}=2^{x-2}a^{1-x}$$
$x=\frac{\log_{2}\left(b\right)}{3}+\frac{2\pi n_{1}i}{3\ln(2)}+\frac{5}{3}$
$n_{1}\in \mathrm{Z}$
$-\frac{2^{\frac{\log_{2}\left(b\right)}{3}+\frac{2\pi n_{1}i}{3\ln(2)}+\frac{5}{3}}a^{-\frac{\log_{2}\left(b\right)}{3}-\frac{2\pi n_{1}i}{3\ln(2)}-\frac{2}{3}}}{4}+a^{\frac{\log_{2}\left(b\right)}{3}+\frac{2\pi n_{1}i}{3\ln(2)}-\frac{1}{3}}=0$