2 log locations · Windows
SQL Server Management Studio (SSMS) logs to %USERPROFILE%\AppData\Roaming\Microsoft\SSMS\<latest version>\ActivityLog.xml on Windows. 1 other Windows log location is recorded below.
Paths are printed exactly as SQL Server Management Studio (SSMS) writes them. Environment variables like %LOCALAPPDATA% and $XDG_STATE_HOME are never expanded, so a path can be pasted straight into a shell. Where a path differs between installer types or shipping flavours, each one is racked as its own card below - why that happens.
Finding your way around Windows.
%USERPROFILE%\AppData\Roaming\Microsoft\SSMS\<latest version>\ActivityLog.xml%TEMP%\SSMS\