I have many independent non-linear equations, for example
a1+x1*log(x1-b1) - (x1-c1)*log(x1-d1) = 0
a2+x2*log(x2-b2) - (x2-c2)*log(x2-d2) = 0
a3+x3*log(x3-b3) - (x3-c3)*log(x3-d3) = 0
a4+x4*log(x4-b4) - (x4-c4)*log(x4-d4) = 0
where I want to solve for x1 x2 x3 x4, which are independent of each other.
Instead of writing a boring loop to solve for each equation, is there any fast and elegant way to get the solution in a vector within a sentence.