Hi,
there is an example under DOCS-SDKs/sdk_client_dotnet/examples/test showing how to wrap log4net to enable logging of the client library.
You're not forced to use log4net for logging, you only have to implement the
ILoggerProviderinterface that in turn has to provide instances implementing the
ILogger interface; the given example shows how to implement them to wrap log4net but you can actually wrap whatever you like for your logging.