$$\exp\exp\exp\exp\ln\ln\ln\ln3$$
The issue is that $\ln\ln\ln3<0$ so we can't take the natural log and can't just cancel the $\exp$s because it's undefined.
I do know however that $\ln x$ when $x<0$ equals $\ln(|x|)+i\pi$, meaning the original expression could be written as $\exp\exp\exp\exp(\ln(-\ln\ln\ln3)+i\pi)$, which I was hoping could be simplified but I can't figure anything out.
Also know about the “most beautiful equation in math” $e^{iπ}+1=0$ which might be useful here
I’m not sure. Maybe it can't be simplified into an exact answer.
Thanks for any help in advance.
