Its no problem, i have had two log books stolen and it is a ccomplete nightmare but all you need is an affadavit and you are reet! make an appointment to see your solicitor. I would recommend having two logbooks or a computer one, i started to use skylog pro but its a bit of aggro to update it as the format for data entry is not that user friendly.
Some people do have neat logbooks, i for one do not it is a disgrace.