DelegatingHandler to log request and response of a Web API call.

MessageLoggingHandler.cs

using System;
using System.Net.Http;
using System.Text;
using System.Threading;
using System.Threading.Tasks;

/// <summary>
/// </summary>
public class MessageLoggingHandler : DelegatingHandler
{
	/// <summary>
	/// Sends an HTTP request to the inner handler to send to the server as an asynchronous operation.
	/// </summary>
	/// <param name="request">The HTTP request message to send to the server.</param>
	/// <param name="cancellationToken">A cancellation token to cancel operation.</param>
	/// <returns>
	/// Returns <see cref="T:System.Threading.Tasks.Task`1"/>. The task object representing the asynchronous operation.
	/// </returns>
	protected override Task<HttpResponseMessage> SendAsync(HttpRequestMessage request, CancellationToken cancellationToken)
	{
		// Record the start time.
		var startTime = DateTime.Now;

		// Execute the request, this does not block.
		var response = base.SendAsync(request, cancellationToken);

		// Once the response is processed asynchronously, log the data.
		response.ContinueWith(responseMessage => LogData(startTime, DateTime.Now, request, responseMessage.Result, responseMessage.Exception));

		return response;
	}
	
	private static void LogData(DateTime startTime, DateTime endTime, HttpRequestMessage request, HttpResponseMessage response, Exception exception)
	{
		// Is this Web API call?
		if (request.RequestUri.AbsoluteUri.Contains("/api/") == false)
		{
			// Return without doing anything.
			return;
		}

		var loggingInfo = new LoggingInfo { StartTime = startTime, EndTime = endTime, Url = request.RequestUri.AbsoluteUri };

		request
			.Content
			.ReadAsByteArrayAsync()
			.ContinueWith(requestContentTask => { loggingInfo.Request = Encoding.UTF8.GetString(requestContentTask.Result); })
			.ContinueWith
			(
				requestContentTask =>
				{
					if (exception == null)
					{
						response
							.Content
							.ReadAsByteArrayAsync()
							.ContinueWith(responseContentTask => { loggingInfo.Response = Encoding.UTF8.GetString(responseContentTask.Result); })
							.ContinueWith(responseContentTask => LogData(loggingInfo));
					}
					else
					{
						loggingInfo.Exception = exception;
						LogData(loggingInfo);
					}
				}
			);
	}
	
	private static void LogData(LoggingInfo loggingInfo)
	{
		// Log data to appropriate storage.
	}

	/// <summary>
	/// </summary>
	public class LoggingInfo
	{
		/// <summary>
		/// Gets or sets the request.
		/// </summary>
		/// <value>
		/// The request.
		/// </value>
		public string Request { get; set; }

		/// <summary>
		/// Gets or sets the response.
		/// </summary>
		/// <value>
		/// The response.
		/// </value>
		public string Response { get; set; }

		/// <summary>
		/// Gets or sets the end time.
		/// </summary>
		/// <value>
		/// The end time.
		/// </value>
		public DateTime EndTime { get; set; }

		/// <summary>
		/// Gets or sets the start time.
		/// </summary>
		/// <value>
		/// The start time.
		/// </value>
		public DateTime StartTime { get; set; }

		/// <summary>
		/// Gets or sets the exception.
		/// </summary>
		/// <value>
		/// The exception.
		/// </value>
		public Exception Exception { get; set; }

		/// <summary>
		/// Gets or sets the URL.
		/// </summary>
		/// <value>
		/// The URL.
		/// </value>
		public string Url { get; set; }
	}
}

 Wait() should be called after ContinueWith methods, otherwise error comes out. Please check the page: https://stackoverflow.com/questions/26087935/why-do-i-have-to-wait-for-the-continuation

                 request
		        .Content
		        .ReadAsByteArrayAsync()
		        .ContinueWith(requestContentTask => { loggingInfo.Request = Encoding.UTF8.GetString(requestContentTask.Result); })
		        .ContinueWith
		        (
			        requestContentTask =>
			        {
				        if (exception == null)
				        {
					        response
						        .Content
						        .ReadAsByteArrayAsync()
						        .ContinueWith(responseContentTask => { loggingInfo.Response = Encoding.UTF8.GetString(responseContentTask.Result); })
						        .ContinueWith(responseContentTask => LogData(loggingInfo)).Wait();                                                           
				        }
				        else
				        {
					        loggingInfo.Exception = exception;
					        LogData(loggingInfo);
				        }
			        }
		        ).Wait();