Hello,
if the exact equation is
[tex]2^{1-x}=3^{2x-3} [/tex]
==>(1-x)ln 2=(2x-3) ln 3
==>2x ln 3+x ln 2=ln 2 +3 ln 3
==>x=ln (2*3^3) / ln (2*3²)
==> x= ln(54)/ ln (18)
==>x ≈1,3800937....
if the equation is 2^1 -x =3^2 *x -3 then
2-x=9x-3
==>10x=5
==>x=1/2
