What is unknown is the energy absorption characteristics of the line, I believe the rope will be subjected to 16,200 lb of force, and the block/sling double that, if the rope is fully static, with near zero stretch.
For an arborist rigging line, say a 3/4" bull rope, which stretches at about 2% at 10% of tensile, and tensile is 20,000 lb, one would need the amount of elongation at break...which is 15-20%, I think. With that rope, the elongation during the rigging would mean the log would drop about 2-3 feet past your stop point, before coming to rest. Peak force on the line would be less, how much would need a dyno.
Given the above scenario, it is clear that an ~1.5" bull line would be needed to stay within 5/1 working load to tensile strength ratio.