Is it safe to delete /Private/Var/Log files?

Is it safe to delete /Private/Var/Log files?

In general, no. However those specific two are ok to delete.

The reason they have grown so large is certain to remain though, which means they will grow large again until the cause is found and corrected.

Non-Apple "cleaning" products are fond of indiscriminately deleting things that shouldn't be deleted, and log files are a popular example. macOS expects many of its components and files to be present. If they're not, the process(es) creating them will burden a Mac's performance in a futile effort to write to files that do not exist, leading to complaints of a slow Mac. Some might consider that a bug in macOS; after all a perfectly written routine should confirm the existence of a file before it attempts to write to it, but Apple can't possibly test every possible circumstance where someone or some thing interferes with what it was designed to do. Something to keep in mind.

Sure delete it. It is just a log file. Mojave still allows for access. Catalina 10.15 you do not have permission.

It affects your operation control click on it in the Trash>Put Back.

20GB is a large log file.

See what Bob Harris says in this thread. What is this in private/var? - Apple Community