4^(x-1)=27^(1-2x)
ln4^(x-1)=ln27^(1-2x)
(x-1)ln4=(1-2x)ln27
(ln4+2ln27)x=ln4+ln27
(ln4+ln27²)x=ln4+ln27
ln4*27²x=ln4*27=ln108
x=ln108/ln2916