This certainly isn’t rocket science, but it also is certainly not something you want to type more than once.

find . -type f -printf '%T@\t%p\n' | sort -n | cut -f2

And an application using feh:

find . -type f -printf '%T@\t%p\n' | sort -n | cut -f2 | xargs feh -F

And if you want the newest-written-to .log files, searching from the current working directory:

find . -name \*.log -type f -printf '%T@\t%p\n' | sort -rn | cut -f2 | head -30 | xargs -n 1 ls -lh