As ATCO said - flight bag ! (& headset bag).
Meself, I keep my logbook at home, and copy up from my paper PLOGs which are a feature of all of my flying and will be of the OPs from about 10 hours into training. I then copy up my flying into both my electronic and paper logbooks at home - but certainly plenty of people use web apps (mine's in Excel - I suppose I could find a way to do that on my phone, but I don't choose to), and I agree that whilst there's a lot of value in having a paper logbook, CAA will accept a signed printout of an electronic logbook these days - they've not had my paper logbook for some years either.
Tablets aren't generally approved of whilst learning - but there are some nice phone/tablet apps that you can use to record and review flights afterwards. I use Flightrecorder24 quite often for that when I'm instructing.
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Last edited by Genghis the Engineer; 24th Jan 2016 at 18:31.