Question

2^1-x=3^2x-3 solve for X

Answer 1

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 (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