Okta Verify logs to %WINDIR%\System32\config\systemprofile\AppData\Local\Okta Device Access\Logs\ on Windows. 1 other Windows log location is recorded below.
Okta Verify logs to ~/Library/Group Containers/B7F62B65BN.group.okta.macverify.shared/Logs/ on macOS.
Paths are printed exactly as Okta Verify 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.