Currently on Stack Overflow there are:
I don't have the reputation to synonimize log and logs into logging, but I think they should be merged.
While I don't intend to stop this tag merge - as I will mention beneath, it seems logical - I would like to mention some of my thoughts on this.
At first sight this seems like a pretty straightforward and logical suggestion. If you check the questions in the first 2 tags though (log and logs) they most often handle problems that have left some message in the log(s) of system X. And the poster wants help deciphering this message that - admittedly - can be somewhat cryptic at times.
The tag logging on the other hand seems to be about the act of adding logging functionality to your code and using this or that logging library. At least that's the distinction that I instinctively make between the first two and the latter. And it seems to me that the distinction lives on SO as well.
If my point of view has any merit, there is still a merge possible between log and logs.