How can I solve this equation?

I have this equation and it seems hard to calculate manually so I decided to write a code... but I cannot :(

a+b*x=x/(b*ln((x-e)/x));

Only x is the variable, a,b and e is known.

Thank!

Answer 1

[Walter Roberson]

syms x
eqn = a+b*x==x/(b*log((x-e)/x));
vpasolve(eqn, x)

Or

eqn = @(x) (a+b*x) - (x/(b*log((x-e)/x)));
fzero(eqn, InitialGuess)

[Adrienn Béres]

Thanks a lot!

Answer 2

[John D'Errico]

There will probably be no analytical solution to the problem, as I doubt lambertW or wrightOmega will suffice. However, given the known values of the constants a,b,e, just use fzero, or fsolve, or vpasolve as you prefer.