I once spent 10 hours sitting in the snow, waiting for someone to find a chainsaw so we could all go home. An axe might have worked, but a bow saw might not have been enough.
We were riding dual sport bikes in Wyoming, and were about 75 miles up to the snow line, and turned around to go back home in the late afternoon. But the road we had ridden in on in the morning, was now closed with a 4 foot diameter tree all the way across it, extending 10 feet beyond the dirt road on either side. A family in a 4 WD Chevy pickup was blocked in along with us, and even with a chain and a winch could not move the tree from across the road. Their kids were getting cold and hungry.
Six of us lifted one of the bikes over the tree by hand ( Yamaha 450 ), and then one of my riding partners rode back down the mountain to try to find a samaritan at 7 pm on a Sunday evening who would drive back up the mountain with a chainsaw and rescue everyone. He did, and we finally got out, but it was a great demonstration of why you take a chain saw with you when you go up a mountain on forest roads.