diff --git a/src/isolate/connections/grpc/_base.py b/src/isolate/connections/grpc/_base.py
index fa3531a..d78c961 100644
--- a/src/isolate/connections/grpc/_base.py
+++ b/src/isolate/connections/grpc/_base.py
@@ -16,6 +16,7 @@
 from isolate.connections.grpc import agent, definitions
 from isolate.connections.grpc.configuration import get_default_options
 from isolate.connections.grpc.interface import from_grpc
+from isolate.logger import logger
 from isolate.logs import LogLevel, LogSource
 
 
@@ -148,5 +149,5 @@ def get_python_cmd(
         ]
 
     def handle_agent_log(self, line: str, level: LogLevel, source: LogSource) -> None:
-        print(f"[{source}] [{level}] {line}")
+        logger.log(level, line, source)
         self.log(line, level=level, source=source)
diff --git a/src/isolate/connections/grpc/agent.py b/src/isolate/connections/grpc/agent.py
index b9550bd..c45f17c 100644
--- a/src/isolate/connections/grpc/agent.py
+++ b/src/isolate/connections/grpc/agent.py
@@ -22,6 +22,8 @@
 from isolate.connections.grpc import definitions
 from isolate.connections.grpc.configuration import get_default_options
 from isolate.connections.grpc.interface import from_grpc
+from isolate.logger import logger
+from isolate.logs import LogLevel, LogSource
 
 
 @dataclass
@@ -149,7 +151,7 @@ def send_object(
             definition = serialize_object(serialization_method, result)
         except SerializationError:
             if stringized_tb:
-                print(stringized_tb, file=sys.stderr)
+                logger.log(LogLevel.ERROR, stringized_tb, LogSource.BRIDGE)
             raise AbortException(
                 "Error while serializing the execution result "
                 f"(object of type {type(result)})."
diff --git a/src/isolate/logger.py b/src/isolate/logger.py
new file mode 100644
index 0000000..a30d1e0
--- /dev/null
+++ b/src/isolate/logger.py
@@ -0,0 +1,17 @@
+import json
+
+
+# NOTE: we probably should've created a proper `logging.getLogger` here,
+# but it handling `source` would be not trivial, so we are better off
+# just keeping it simple for now.
+class IsolateLogger:
+    def log(self, level, message, source):
+        record = {
+            "isolate_source": source.name,
+            "level": level.name,
+            "message": message,
+        }
+        print(json.dumps(record))
+
+
+logger = IsolateLogger()