diff --git a/src/partial_span_processor/__init__.py b/src/partial_span_processor/__init__.py
index 1e7a067..5c663ec 100644
--- a/src/partial_span_processor/__init__.py
+++ b/src/partial_span_processor/__init__.py
@@ -16,6 +16,7 @@
 
 import datetime
 import json
+import logging
 import threading
 import time
 from typing import TYPE_CHECKING
@@ -28,7 +29,7 @@
 from opentelemetry.sdk.trace import ReadableSpan, Span, SpanProcessor
 from opentelemetry.trace import TraceFlags
 
-from partial_span_processor.peekable_queue import PeekableQueue
+from .peekable_queue import PeekableQueue
 
 if TYPE_CHECKING:
   from opentelemetry import context as context_api
@@ -40,6 +41,7 @@
 DEFAULT_INITIAL_HEARTBEAT_DELAY_MILLIS = 5000
 DEFAULT_PROCESS_INTERVAL_MILLIS = 5000
 
+_logger = logging.getLogger(__name__)
 
 def validate_parameters(log_exporter, heartbeat_interval_millis,
     initial_heartbeat_delay_millis, process_interval_millis):
@@ -131,7 +133,10 @@ def on_end(self, span: ReadableSpan) -> None:
 
   def export_log(self, span, attributes: dict[str, str]) -> None:
     log_data = self.get_log_data(span, attributes)
-    self.log_exporter.export([log_data])
+    try:
+      self.log_exporter.export([log_data])
+    except Exception:
+      _logger.exception("Exception while exporting logs.")
 
   def shutdown(self) -> None:
     # signal the worker thread to finish and then wait for it
diff --git a/tests/partial_span_processor/test_partial_span_processor.py b/tests/partial_span_processor/test_partial_span_processor.py
index 730f341..2077a35 100644
--- a/tests/partial_span_processor/test_partial_span_processor.py
+++ b/tests/partial_span_processor/test_partial_span_processor.py
@@ -200,6 +200,73 @@ def test_process_ready_heartbeat_spans(self):
     self.assertEqual(logs[0].log_record.attributes["partial.event"],
                      "heartbeat")
 
+  @patch('src.partial_span_processor._logger')
+  def test_export_log_handles_export_exception(self, mock_logger):
+    # Create a mock log exporter that raises an exception
+    failing_exporter = mock.Mock()
+    failing_exporter.export.side_effect = Exception("Export failed")
+
+    # Create processor with failing exporter
+    processor = PartialSpanProcessor(
+      log_exporter=failing_exporter,
+      heartbeat_interval_millis=1000,
+      initial_heartbeat_delay_millis=1000,
+      process_interval_millis=1000,
+    )
+
+    try:
+      span = TestPartialSpanProcessor.create_mock_span()
+
+      # This should not raise an exception despite the exporter failing
+      processor.export_log(span, {"test": "attribute"})
+
+      # Verify the exception was logged
+      mock_logger.exception.assert_called_once_with(
+        "Exception while exporting logs.")
+
+      # Verify export was attempted
+      failing_exporter.export.assert_called_once()
+    finally:
+      processor.shutdown()
+
+  @patch('src.partial_span_processor._logger')
+  def test_export_log_handles_runtime_error(self, mock_logger):
+    # Create a mock log exporter that raises a RuntimeError
+    failing_exporter = mock.Mock()
+    failing_exporter.export.side_effect = RuntimeError(
+      "Runtime error during export")
+
+    processor = PartialSpanProcessor(
+      log_exporter=failing_exporter,
+      heartbeat_interval_millis=1000,
+      initial_heartbeat_delay_millis=1000,
+      process_interval_millis=1000,
+    )
+
+    try:
+      span = TestPartialSpanProcessor.create_mock_span()
+
+      # This should not raise an exception
+      processor.export_log(span, {"test": "attribute"})
+
+      # Verify the exception was logged
+      mock_logger.exception.assert_called_once_with(
+        "Exception while exporting logs.")
+    finally:
+      processor.shutdown()
+
+  def test_export_log_succeeds_normally(self):
+    # Test that normal operation still works
+    span = TestPartialSpanProcessor.create_mock_span()
+
+    # This should work normally
+    self.processor.export_log(span, {"test": "attribute"})
+
+    # Verify log was exported successfully
+    logs = self.log_exporter.get_finished_logs()
+    self.assertEqual(len(logs), 1)
+    self.assertEqual(logs[0].log_record.attributes["test"], "attribute")
+
 
 if __name__ == "__main__":
   unittest.main()