Good tracing & monitoring means you should basically never need to look at logs.

Pipe them all into a dumb S3 bucket with less than a week retention and grep away for that one time out of 1000 when you didn't put enough info on the trace or fire enough metrics. Remove redundant logs that are covered by traces and metrics to keep costs down (or at least drop them to debug log level and only store info & up if they're helpful during local dev).