solve non-linear equation

Hello everybody,

I have an equation having the following form:

G = e^(-z)+ pho*e^(L-2z); with pho, G and L constant. I would like to find the z value. Could you suggest me a function to implement a code for solving my equation?

Thank you in advance

Fernando.

Answer 1

[David Hill]

Use fzero

eqn=@(z)exp(-z)+pho*exp(L-2*z)-G;%you could plot the function to find the approximate location of the root
z=fzero(eqn,0)

Answer 2

[Matt J]

You can solve for x=e^(-z) using roots. Then use z=-log(x).

Example:

z=2.4;
pho=2;
L=2;

G = exp(-z) + pho*exp(L-2*z);

x=roots([pho*exp(L),1,-G]);
z=-log(x(x>0))

z = 2.4000