When I clear the Wi-Fi log does it delete the history?

Let's say I go on google.com on my iPhone using my home Wi-Fi. If I log into the Wi-Fi router from the computer and delete the logs, will my history of google.com still be somewhere (other than on my phone history)? Basically I'm asking that if the Wi-Fi log is deleted (by going to the IP address and logging in), is there any other way to see the history of the phone on the computer?

And if I go on the twitter app on my phone, can the Wi-Fi router see that?

If I go on a website on my phone that has a virus, can that virus be transferred to the computer through the Wi-Fi router?

If someone could just explain to me these things it would be appreciated.

Home routers, if they have a logging capability in the first place, do not devote a lot of memory to the cause. This means that if the logging function is enabled, that the log is most likely going to wrap-around, effectively deleting its previous contents. Of course this depends of how much Internet activity the router sees.

Most likely it's your browser's history log that's going to be around for a long, long time. Those are usually huge in comparison.

But, if I read your question correctly -- I'd have to tell you that your ISP also keeps track of every website you visit. That's what they turn over to the police when they get a search warrant for your Internet activity.

Yes, phones can get malware or viruses. Get an antivirus app if you're concerned.

I don't use Twitter so I have no idea how it works. But from what I hear, once you tweet something it's out there for all to see. No logging required. Just find your twitter handle I presume.