I found the answer after digging and thought I'd store it here. C:\Program Files\Common Files\Microsoft Shared\web server extensions\12\LOGS
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moss
In Sharepoint Server 2010 they are stored here:
"c:\Program Files\Common Files\Microsoft Shared\web server extensions\14\LOGS"
To view them you can use ULS Viewer by Microsoft (unsupported). http://ulsviewer.codeplex.com/
For Sharepoint 2007
C:\Program Files\Common Files\Microsoft Shared\web server extensions\12\LOGS
For SharePoint 2016
%COMMONPROGRAMFILES%\Microsoft Shared\Web Server Extensions\15\Logs
For SharePoint 2013
%COMMONPROGRAMFILES%\Microsoft Shared\Web Server Extensions\15\Logs
For SharePoint 2010
%COMMONPROGRAMFILES%\Microsoft Shared\Web Server Extensions\14\Logs
For SharePoint 2007
%COMMONPROGRAMFILES%\Microsoft Shared\Web Server Extensions\12\Logs
Note: The sharePoint Trace log path can be changed by opening Central Administration > Monitoring > Reporting > Configure Diagnostic Logs
For more details check SHAREPOINT ULS VIEWER
By default they are stored here:
%commonprogramfiles%/Microsoft Shared/web server extensions/12/Logs
Using %commonprogramfiles% make it works in non-english systems.
In SharePoint 2013 they are stored in:
%COMMONPROGRAMFILES%\Microsoft Shared\web server extensions\15\LOGS
Source: Stackoverflow.com