feat: Add comprehensive logging system with console and file output

- Create logging infrastructure in src/infrastructure/logging/
  - logger.py: Main logging setup with console and file handlers
  - uvicorn_config.py: Custom uvicorn logging configuration
  - __init__.py: Export public logging API

- Update FastAPI application to use logging
  - Replace all print() statements with proper logger calls
  - Initialize logging during application startup
  - Add detailed startup/shutdown logging

- Add startup scripts
  - run_server.py: Python script with uvicorn logging config
  - start_server.sh: Bash wrapper script

- Add comprehensive documentation
  - docs/logging.md: User guide for logging system
  - docs/logging_implementation_summary.md: Technical implementation details

Features:
- Console logging with clean, readable format
- File logging with timestamps to logs/fastapi_app.log
- Configurable log level via LOG_LEVEL environment variable
- Proper lazy formatting for performance
- Captures all uvicorn, application, and module logs
- Automatic log directory creation

src/infrastructure/logging/logger.py

@@ -0,0 +1,100 @@
+"""
+Logging configuration for the Aniworld application.
+
+This module provides a centralized logging setup with both console and file
+logging, following Python logging best practices.
+"""
+import logging
+import sys
+from pathlib import Path
+from typing import Optional
+
+from src.config.settings import settings
+
+
+def setup_logging(
+    log_file: Optional[str] = None,
+    log_level: Optional[str] = None,
+    log_dir: Optional[Path] = None
+) -> logging.Logger:
+    """
+    Configure application logging with console and file handlers.
+    
+    Args:
+        log_file: Name of the log file (default: "fastapi_app.log")
+        log_level: Logging level (default: from settings or "INFO")
+        log_dir: Directory for log files (default: "logs" in project root)
+    
+    Returns:
+        Configured logger instance
+    """
+    # Determine log level
+    level_name = log_level or settings.log_level or "INFO"
+    level = getattr(logging, level_name.upper(), logging.INFO)
+    
+    # Determine log directory and file
+    if log_dir is None:
+        # Default to logs directory in project root
+        log_dir = Path(__file__).parent.parent.parent.parent / "logs"
+    
+    log_dir.mkdir(parents=True, exist_ok=True)
+    
+    if log_file is None:
+        log_file = "fastapi_app.log"
+    
+    log_path = log_dir / log_file
+    
+    # Create formatters
+    detailed_formatter = logging.Formatter(
+        fmt="%(asctime)s - %(name)s - %(levelname)s - %(message)s",
+        datefmt="%Y-%m-%d %H:%M:%S"
+    )
+    
+    console_formatter = logging.Formatter(
+        fmt="%(levelname)s:     %(message)s"
+    )
+    
+    # Configure root logger
+    root_logger = logging.getLogger()
+    root_logger.setLevel(level)
+    
+    # Remove existing handlers to avoid duplicates
+    root_logger.handlers.clear()
+    
+    # Console handler (stdout)
+    console_handler = logging.StreamHandler(sys.stdout)
+    console_handler.setLevel(level)
+    console_handler.setFormatter(console_formatter)
+    root_logger.addHandler(console_handler)
+    
+    # File handler
+    file_handler = logging.FileHandler(log_path, mode='a', encoding='utf-8')
+    file_handler.setLevel(level)
+    file_handler.setFormatter(detailed_formatter)
+    root_logger.addHandler(file_handler)
+    
+    # Create application logger
+    logger = logging.getLogger("aniworld")
+    logger.setLevel(level)
+    
+    # Log startup information
+    logger.info("=" * 60)
+    logger.info("Logging configured successfully")
+    logger.info("Log level: %s", level_name.upper())
+    logger.info("Log file: %s", log_path)
+    logger.info("=" * 60)
+    
+    return logger
+
+
+def get_logger(name: str) -> logging.Logger:
+    """
+    Get a logger instance for a specific module.
+    
+    Args:
+        name: Name of the logger (typically __name__)
+    
+    Returns:
+        Logger instance
+    """
+    return logging.getLogger(name)