Solve for real-valued x, e-aX + e-bX = 1, where a and b are arbitrary known constants > 0. For example, e-48.12/50 + e-48.12/100 ~ 1.00 In this case X = 48.12 (to two decimals), a = 1/50 and b = 1/100. For any specific values of a and b, a computational solution can easily be determined, but a general algebraic solution is desired. The problem can be variously reformulated, i.e., Y = eX, Yc + Yd = 1, c and d < 0 ... alas to no apparent avail. The equation sometimes seems like it should be a queuing theory probability or perhaps some geometric shape or I don't know anymore (obviously) ... thanks in any case.