Say I have a specific build, such as:
https://example.com/httpAuth/app/rest/builds/id:161010
How would I get the build log of that build?
Just download http://your.teamcity.server/httpAuth/downloadBuildLog.html?buildId=nnnn
. Nice and easy.
This has now been added to the docs - https://confluence.jetbrains.com/display/TCD10/Build+Log