How to solve this implicit equation in matlab?

ln [(0.77x-0.77)/(x-0.77)] - (0.23x)/(1-x)-0.0729=0

Answer 1

[Alan Stevens]

Good idea to plot a graph first, to see roughly where the root lies. Then use fzero. For example::

fn = @(x)log((0.77*x-0.77)./(x-0.77)) - (0.23*x)./(1-x)-0.0729;
x0 = 0.1;
x = fzero(fn,x0);
disp(x)

    0.4102

disp(fn(x))

   6.9389e-17