Actually, as I found in this answer [here](http://scifi.stackexchange.com/a/92077/68872), and from Valorum's [answer](http://scifi.stackexchange.com/a/137320/68872) to [this question](http://scifi.stackexchange.com/q/137300/68872). People surrounding this book and film can be pretty responsive to emails. So I emailed Andy Weir (I hope you don't mind me blacking out my name), but this was his reply:
[![Andy Weir responds to my email stating that Mark uploaded his logs and transmitted them to Earth using the Ares 4 MAV.][1]][1]


So according to him, Mark uploads the logs and sends them using the Ares 4 Mav, although I have no recollection of that happening.

## With regards to the movie...  
**We don't know**  
To elaborate, nowhere in the script from when Mark reaches the Schiaparelli Crater, to when the MAV takes off does he upload them or are they discussed.

>INT. ROVER - ARES 4 MAV SITE - DAY  
**TITLE: Sol 538**  
Mark stares at the camera with a look that says, “Oh jesus
these JPL guys are gonna get me killed.”  
MARK (distraught)  
I know what they’re doing. I know what
they’re doing. They keep repeating
“accelerate faster than any man in the
history of space travel” like this is a
good thing, like this’ll distract me from
how insane their plan is. Oh really? I
get to be the fastest man in the history
of space travel? You’re launching me
into space in a convertible. No no, it’s
worse, because I don’t have any controls.
You’re launching me into space in a tin
can. And, by the way, physicists don’t
even use words like “fast” when
describing acceleration, so they’re only
doing it in hopes I won’t raise any
objections because I like the way
“fastest man in the history of space
travel” sounds. Well, you know what?  
(thinks about it)  
I do like it. I do like the way it
sounds.  
(then)  
Okay, fine. Let’s do this.

>EXT. MAV - DAY  
Mark stands at the base of the MAV. He holds a large wrench
in his hand, almost like a weapon.  
As Mark stares up at the MAV with a gleam in his eyes...  

>INT. MAV - DAY  
Mark tears the acceleration chairs out of the cockpit.

>EXT. MAV - DAY  
WHUMP. One after another, the acceleration chairs hit the
dirt in a pile. WHUMP.

>INT. MAV - DAY  
Mark tears out the control panels. He’s having fun.

>EXT. MAV - DAY  
WHUMP. The controls hit the dirt. The pile is growing.  

>INT. MAV COCKPIT - DAY  
Mark waits in the airlock with a mess of stripped equipment.

>EXT. MAV - DAY  
The outside of the MAV now looks like the set of Sanford and
Son. Mark wrenches one of the MAV’s hull panels free.

>EXT. MAV - DAY  
UP ABOVE: The nose airlock breaks free, and tumbles down
towards camera, BLACKING OUT FRAME.

>EXT. MAV - DUSK  
FROM BLACK, we FIND MARK. He’s sitting on a hill slope,
surveying his handiwork.  
The MAV has been TRANSFORMED. The whole front has been torn
off. Hab canvas now covers it. Equipment litters the area
all around us. Junkyard on Mars.   
Mark just sits. Exhausted.  

>**TITLE: Sol 560**  
INT. POP UP TENT - DAY  
Mark sits inside the makeshift pressurized tent. He tears
open his last remaining ration pack:
“Goodbye, Mars”  
He eats in silence.

After that section the only mention of Mark on Mars is strapped into the MAV waiting to launch. As Santa said, the book uses written logs whereas the film uses video logs, and as Andy Weir's email references the book, we have to look at the film separately. However, Andy Weir tells us that the MAVs had high-bandwidth connection which would allow for video transmission nearly as well as text transmission, so the best we can do is to assume that Ridley Scott and Drew Goddard had similar intentions to Andy Weir, having Mark Watney send them back to Earth via the Ares 4 MAV.

  [1]: https://i.sstatic.net/ySOae.png