While the search offered is handy, I watch logs on multi-pod workloads via:

    kubectl logs -f -l app=api --max-log-requests=50

This follows along all pods with the given label (app: api) for up to 50 pods or however many you want. Quite useful when I'm looking for specific output such as ERROR logs to just pipe it to grep like this:

    kubectl logs -f -l app=api --max-log-requests=50 | grep ERROR

and get realtime filtering of all log output without having to tail individual pods by name.