Can you insure your car at different address from log book?

Can you insure your car at different address from log book?
You must tell the insurance company where you live and where the vehicle is parked every night. The log book I don't understand.* If you try to get the premium lowered by putting down an address that is not yours they will find out and you will be guilty of material misrepresentation. This will cause any claim you file to be denied. Don't be dishonest with you insurance company to save a few dollars, as you want to be able to trust that they be there when you need them. Lie to them and they will not. For full disclosure, I own and operate a small Independent Insurance Agency in Gordon, Georgia and have for 22 years. I also worked as an agent for a direct writer for 3 years before that.

* The log book in the UK, is the old name for the vehicle resitration document, now called a 'V5'. It gives details of the registered keeper and vehicle.