Wikipedia
Super-logarithm
In mathematics, the super-logarithm (or tetra-logarithm) is one of the two inverse functions of tetration. Just as exponentiation has two inverse functions, roots and logarithms, tetration has two inverse functions, super-roots and super-logarithms. There are several ways of interpreting super-logarithms:
- As the Abel function of exponential functions,
- As the inverse function of tetration with respect to the height,
- As the number of times a logarithm must be iterated to get to 1 (the Iterated logarithm),
- As a generalization of Robert Munafo's large number class system,
The precise definition of the super-logarithm depends on a precise definition of non-integral tetration (that is, x for y not an integer). There is no clear consensus on the definition of non-integral tetration and so there is likewise no clear consensus on the super-logarithm for non-integer range.