Math Help - How to solve equation with many exp

1. How to solve equation with many exp

Hi

I'm trying to understand how to solve this type of equation and don't know.
A*exp(x/B)+Cexp(x/D)+Fexp(x/G)+Kexp(x/L)+Mexp(x/N)=0

I need to find x.

If one of B, D, G, L, N is a multiple of the rest, then this problem reduces to finding roots of a polynomial. For example, suppose that B = d * D = g * G = l * L = n * N for some positive integer d, g, l, n. Then $e^{x/D}=e^{(x/B)\cdot d}=(e^{x/B})^d$. So, the equation becomes $Ay+Cy^d+Fy^g+Ky^l+My^n=0$ for $y=e^{x/B}$.