Python File Monitoring and Auto-Organization Script with Logging

Create a Python script that monitors [folder_path] for new files, automatically organizes them by file extension into subfolders (e.g., 'images' for .jpg/.png, 'documents' for .pdf/.docx, 'videos' for .mp4/.avi), and logs all file movements with timestamps to [log_file]. Include error handling for permission issues, duplicate files, and invalid paths. The script should run continuously and handle [file_types] extensions.