Tim & David.
I just logged into the server using PuTTY and judging from what I can see in the /var/log/httpd location, it's filled with a bunch of odd stuff that just doesn't look like what log files normally appear to be. For example, there's 2 directories and a bunch of extension-less files. The two directories are "archive" and "fcgidsock". The files are "cgisock.<number>", error_log.<number> (which would normally be assumed to be the raw logs, but they're not: they appear to be actual error logs--completely different from something like raw access logs--they're also EMPTY anyway), and a bunch of other meaningless files that don't appear to be log files at all--more like Linux app files that pertain to other server processes.
I tried to post what I'm seeing in these things but it wouldn't work because when I copied the obscure code from the file I just extracted and tried to paste it inside the SitePoint WYSIWYG editor in this response, it only pasted a few characters (despite trying to use the CODE button). So I decided to attach an image of what I'm seeing instead--see below. (I hope it helps diagnose this--if you can't view it or if it doesn't display okay, let me know and I'll figure something else out). I've also been trying to view this in ANSI encoding--which has always worked before and is my EditPlus default--but I also tried opening it in other encoding types to no avail, too.
The latest file I just extracted from the *.gz download I just downloaded was named as follows: accesslog_<website name>.com_10_13_2012.
Because of how it's named, Windows seems to default it to a Windows Shell Extension, but I wouldn't think that should matter if you open it in a text editor... But in any event, I decided to give it first a .txt extension and then a .log extension--both to no avail: still the same gibberish in the editor...
Since I don't know how to get to the raw logs through shell in order to extract one, I just downloaded a .gz log to my Windows machine from CPANEL and then re-uploaded the .gz file to the server so that I could then use the server's shell to run something like "gzip -d <filename>" to extract it on the server. When I do this, it's the same dice: same gibberish inside both nano and vi. I'm not sure what else to do in order to get to the raw files otherwise...
I really think that either there's something broken on their end (HostMonster's end, I mean) or else someone is lying to me from HostMonster in order to avoid doing something they don't want to do... I've read things on the internet before about how unprofessional they can be. I'm not sure if any of it's true but obviously it has me not trusting them and thinking of the worst possible scenario. I'm a very paranoid person by default, so this has me tripping. Ha.
I'm just not sure what to make out of any of this but I'm definitely going to be moving away from them as soon as I decide on a different host (which looks like it will be either HostGator, 1&1, BlueHost, or DreamHost--which seem to be the consistent preferences across all the "Top Hosts" pages I've scoured through Google so far).
Any input is appreciated and thanks in advance.