It is recommended to directly use the Microsoft. to log entries as it also supports semantic logging. Please see Logging in .NET Core and ASP.NET Core for further details.
The NServiceBus. package provides support for writing NServiceBus log entries to Common.Logging. Common.Logging provides a simple logging abstraction to switch between different logging implementations, similar to Microsoft.Extensions.Logging.
Usage
LogManager.Adapter = new ConsoleOutLoggerFactoryAdapter();
NServiceBus.Logging.LogManager.Use<CommonLoggingFactory>();