# How do I solve for x in here?

Can someone help me solve this one? All I need to do is to isolate x in the following equation:

$\ e^{-x/t}+e^{-x/z}=1-\frac{2}{e}$

t and z are real numbers, yet unknown.

Thanks!

• Mathematica returns nothing. I'm fairly convinced there is no simple solution. – Brevan Ellefsen May 27 '17 at 15:59

This is of the form $a^x+b^x = c$ which can only be solved numerically in general.
Since $2/e < 1$ and $e^z > 0$ for all real $z$, the left side is always positive and the right side is negative so there are no solutions.