I couldn't agree more Mardi_Gras. It is ridiculous for a Host to not provide web logs. I have never heard of such a thing. I recently changed hosts and in the change, my NetTracker was unable to collect the logs in the usual fashion. Even tho the new host was not willing to accomodate me in placing the logs where NetTracker could pick them up, they gave me access to my own logs!
While I agree with the new host suggestions I'd suggest you check you Contract/TOS at the host.
I'm no lawyer and I'm thinking outloud here but just because the host creates data re: your webspace doesn't necessarily mean you can have access to it. It is their server and they have sole discretion over what to provide or not to provide you. The real question is did they specify what you do or don't get with regards to log files? If they didn't - or did and it clearly states you get prepared reports in lieu or raw logs - then I'd lean to the fault being yours.
On the other hand, have log files entered the realm of being so commonplace that they are an expected piece of the service - like expecting the car dealership to supply the lead weights when they balance your tires? I don't have the answer but if my host told me they'd only supply me a prepared report I'd switch in a heartbeat.