I was in the middle of a finding a minimum, when I got stuck with this incredibly annoying equation. I need urgent help as I need to submit my paper by tomorrow:

x^(1/2)+ln(x^(1/2))=u-ln(d) [u and d are parameters).

Is there anything to be done with it to simplify the equation? In part two of the question, I am to assume that u=1 and d=2, but I still can't solve it.

Thanks!