Verified Answer :

caylus

Hello,

if the exact equation is

\(2^{1-x}=3^{2x-3}\)

==>(1-x)ln 2=(2x-3) ln 3

==>2x ln 3+x ln 2=ln 2 +3 ln 3

==>x=ln (23^3) / ln (23²)

==> 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





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