$$(iv)(\frac{-3}{4})^{x}=\frac{243}{1024}$$
$v=\frac{-243i}{1024\left(-\frac{3}{4}\right)^{x}}$
$x=\frac{\ln(\frac{-243i}{1024v})}{\ln(\frac{3}{4})+\pi i}+\frac{2\pi n_{1}i}{\ln(\frac{3}{4})+\pi i}$
$n_{1}\in \mathrm{Z}$
$v\neq 0$
