# Triangular exponentation logarithm and inverse

The generalized formula of triangular exponentation on real numbers field is

$x ^ {\triangle y} = \frac {1} {y \cdot B (x, y)} = \frac {\Gamma(x + y)} {\Gamma(x) \cdot \Gamma(y + 1)}$

It's my assumtion of generalization of formula in wikipedia.

How the logarithm and inverse exponentation functions can be founded? Is it possible to output x and y through the (y, n) and (x, n) respectivly (sorry for my language)?

$\frac {\Gamma(x + y)} {\Gamma(x) \cdot \Gamma(y + 1)} = a$

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