The 'trick' with drawing this kind of shape is to break it down into its constituent parts. In this case, quarter circles and 45 degree angle lines should do it. The following screenshot shows what I managed to achieve in about 5 minutes, it's pretty rough, but it shows the principle. At the top are some of the components and below is the shape that I've assembled from those parts:
Using smart guides and/or snapping to objects and points helps with getting everything to join up nicely.
Your specific approach would depend on whether you want to exactly recreate the reference image or create something of your own in a similar style. If you need to recreate the logo exactly then you would want to work over the top of it to match the angles and alignment exactly.