I feel like this question has been asked before, but I couldn't find any question about this, so therefore if you find the same question somewhere(or even similar) please close this one.
My question is whether there exists some formula for calculating:
$$\prod_{k=2}^n \ln(k) = \ln(2)\ln(3)\ln(4)\cdots\ln(n)$$
My guess is that there probably isn't a formula (I tried to "doodle" around with it for a while and couldn't find anything), but if there is, please tell me :)