I would like to solve the equation:
A Exp[m t + s Sqrt[t] x - 1/2 s^2 t] >= K
with respect to
x (which is in the exponent) using Mathematica. All parameters are positive. Of course, the answer is easy to get by hand. However, for some reason I could not figure out how to do it with Mathematica. What I tried gave me some error messages.
Also, I would like the solution to be expressed without all those conditionals. That is, I want the answer in which all the parameters satisfy whatever they need to satisfy so that the generic solution holds,
I would greatly appreciate help in figuring out how to do this.