6的3x+1次方等于2的2x-3次方,求x

6^(3x+1)=2^(2x-3)
3^(3x+1). 2^(3x+1) = 2^(2x-3)
3^(3x+1)= 2^(-x-4)
(3x+1) ln3 = (-x-4)ln2
x(3ln3+ln2) = -(4ln2+ln3)
x =-(4ln2+ln3)/(3ln3+ln2)