Okay, let me explain.
First, there's the additive inverse, or the negative form of a number. i.e. the additive inverse of $2$ is $-2$.
Then, there's the multiplicative inverse, or the reciprocal of a number. i.e. the multiplicative inverse of $2$ is $\frac{1}{2}$.
The question I have is if there's a logarithmic inverse. Is there, or is there not?
I believe it could be $2\uparrow \uparrow-1$ ($2$ tetrated to $-1$), but I can'r be sure, and Google isn't giving me any answers.