solving certain mathematical function

[deleted_user]

I want to get the value of x assuming certain value of Y. how can I solve this problem using SAS?
the equation is
Y=(Γ(1/x) Γ(1/2x))/〖(Γ(1/3x))〗^2
Best Regards,
Amani

[Doc_Duke]

SAS is not really a numerical programming language, like MathCAD. You could get an approximation to the solution using a search algorithm like, for instance, Newton-Raphson, to compute local maxima across the range of x and then using successively smaller intervals to circle in to get an answer to a certain level of precision.

I don't recognize the functional form to visualize the response surface. If there is not a unique solution, the search algorithms may not converge to the answer you were looking for.