Distributed log tracing with Kong

I was looking for a way to achieve distributed log tracing across services. Kong has a bundled plugin correlation-id (correlation-id plugin, fixes #1086 by opyate · Pull Request #1094 · Kong/kong · GitHub) which helps passing a header to upstream but this plugin does not provide log tracing within Kong. Basically, wanted to have a functionality where each usage of kong.log adds a unique identifier for each request to each log This will help trace all the logs for the request. Any suggestions?