diff --git a/v3/integrations/logcontext-v2/nrslog/example/main.go b/v3/integrations/logcontext-v2/nrslog/example/main.go
index 2544fb3b6..f201b3184 100644
--- a/v3/integrations/logcontext-v2/nrslog/example/main.go
+++ b/v3/integrations/logcontext-v2/nrslog/example/main.go
@@ -12,6 +12,7 @@ import (
 
 func main() {
 	app, err := newrelic.NewApplication(
+		newrelic.ConfigAppName("slog example app"),
 		newrelic.ConfigFromEnvironment(),
 		newrelic.ConfigAppLogEnabled(true),
 	)
diff --git a/v3/newrelic/internal_app.go b/v3/newrelic/internal_app.go
index b85365a86..54b7b4fdc 100644
--- a/v3/newrelic/internal_app.go
+++ b/v3/newrelic/internal_app.go
@@ -255,7 +255,7 @@ func (app *app) process() {
 
 			// Remove the run before merging any final data to
 			// ensure a bounded number of receives from dataChan.
-			app.setState(nil, errors.New("application shut down"))
+			app.setState(nil, errApplicationShutDown)
 
 			if obs := app.getObserver(); obs != nil {
 				if err := obs.shutdown(timeout); err != nil {
@@ -541,6 +541,7 @@ var (
 	errHighSecurityEnabled        = errors.New("high security enabled")
 	errCustomEventsDisabled       = errors.New("custom events disabled")
 	errCustomEventsRemoteDisabled = errors.New("custom events disabled by server")
+	errApplicationShutDown        = errors.New("application shut down")
 )
 
 // RecordCustomEvent implements newrelic.Application's RecordCustomEvent.
diff --git a/v3/newrelic/log_event.go b/v3/newrelic/log_event.go
index 700be9d24..ff7e46d01 100644
--- a/v3/newrelic/log_event.go
+++ b/v3/newrelic/log_event.go
@@ -186,6 +186,12 @@ func EnrichLog(buf *bytes.Buffer, opts EnricherOption) error {
 
 	reply, err := app.app.getState()
 	if err != nil {
+		app.app.Debug("cannot enrich logs, unable to reach application", map[string]interface{}{"error": err.Error()})
+		// If the application is shut down, don't return an error so the log can still be written.
+		// If debug logging is enabled, the error will be logged there.
+		if err == errApplicationShutDown {
+			return nil
+		}
 		return err
 	}