ILoggerFactory loggerFactory = new LoggerFactory().AddDebug();
container.RegisterInstance(loggerFactory);

// inject factory in constructor
public MyService(ILoggerFactory loggerFactory){
 this.logger = loggerFactory.CreateLogger<MyService>()

 this.logger.LogInformation("Logger created");
}

// inject logger in constructor
public MyService(ILogger<MyService> logger){
 this.logger = logger;

 this.logger.LogInformation("Logger created");
}

container.Register(typeof(ILogger<>), made: Made.Of(() => loggerFactory.CreateLogger<>()));