How precise is it? If I search something, is it going to replace it by what it thinks I want?

You can always create an account and use the freei trial. For me personally, the search results have always been what I was looking for.

What about the logs? Is there any logs, if yes how long they keep them?

There are no logs.

Where are located the servers?

Kagi has multiple servers around the globe, and will connect you to the closest one to you.

And where are from the investors?

Kagi's investors are mainly regular Kagi users: https://blog.kagi.com/safe-round

Your post sounds and looks like an ad.

I wanted to use the text box to provide some info about what Kagi actually is, since the title alone doesn't explain. What should I have done differently in your opinion?