Logs sent to stdout in docker but seeing old logs where are they coming from?

I have NGINX setup in a docker container which configures NGINX access logs to stdout with this

RUN ln -sf /dev/stdout /var/log/nginx/access.log && \
ln -sf /dev/stderr /var/log/nginx/error.log

When the container is built I see access logs scroll across my terminal from late last year until it reaches today. At which point anytime I hit my server I see the new output of the logs in my terminal.

I SSHed into the container and checked for any old log files in /var/* but cannot find any. It seems as if logs are being stored somewhere in the container.

Where can I check for the old logs to clear them out. I'd like to delete them because starting and stopping the container makes my terminal scroll for 5-10 minutes worth of logs.Is there any caching / buffering of logs which I can clear some how. I've searched the entire container for strings within the logs but cannot find them.

Any help is appreciated

Thanks