op-service: Set root & oprpc loggers

Two related changes
1. Set the root logger handler when we create a logger in oplog.
2. Set the log option when creating oprc servers.

The purpose of these changes is to make sure that we use the same
log format everywhere.

op-batcher/batcher/batch_submitter.go

@@ -81,6 +81,7 @@ func Main(version string, cliCtx *cli.Context) error {
 		rpcCfg.ListenAddr,
 		rpcCfg.ListenPort,
 		version,
+		oprpc.WithLogger(l),
 	)
 	if rpcCfg.EnableAdmin {
 		server.AddAPI(gethrpc.API{

op-proposer/proposer/l2_output_submitter.go

@@ -92,7 +92,7 @@ func Main(version string, cliCtx *cli.Context) error {
 	}
 
 	rpcCfg := cfg.RPCConfig
-	server := oprpc.NewServer(rpcCfg.ListenAddr, rpcCfg.ListenPort, version)
+	server := oprpc.NewServer(rpcCfg.ListenAddr, rpcCfg.ListenPort, version, oprpc.WithLogger(l))
 	if err := server.Start(); err != nil {
 		cancel()
 		return fmt.Errorf("error starting RPC server: %w", err)

op-service/log/cli.go

@@ -65,6 +65,9 @@ func NewLogger(cfg CLIConfig) log.Logger {
 	handler := log.StreamHandler(os.Stdout, Format(cfg.Format, cfg.Color))
 	handler = log.SyncHandler(handler)
 	handler = log.LvlFilterHandler(Level(cfg.Level), handler)
+	// Set the root handle to what we have configured. Some components like go-ethereum's RPC
+	// server use log.Root() instead of being able to pass in a log.
+	log.Root().SetHandler(handler)
 	logger := log.New()
 	logger.SetHandler(handler)
 	return logger