I was thinking that rather than using it at the beginning of a fight, a ranger could switch to his bow and use it to end a fight as well.

But from your log, there's a lot that we aren't seeing. Looks like her dagger proc'd, and that got her at least some life back, as well.

Also, you're not mentioning that you're a RR4 Inf going up against a RR10 Ranger...

"Why does a RR10 ranger have the option to buy abilities to equal an assassin in melee, but a RR10 assassin does not have the option to buy abilities that would make him equal to the ranger in ranged combat?"

I covered that. Because Archers are supposed to operate as hybrids between the ranged and melee systems. Casters are to melee combat as assassins are to ranged combat. Casters can't buy RAs to improve their melee. We can't buy RAs to improve our range.

If you were RR10 against an RR10 Ranger, likely you'd have won that fight by a pretty decent margin because his melee ability is lessened by his ranged ability- but not totally negated. You, however, as a melee specialist should be able to overcome that lessened melee ability when you're on equal footing. When you're not on equal footing, their melee may very well be about the same as yours.

While I am of the opinion that pretty much all archers are an over-whined sort, I don't think they're due for a nerf. And I don't agree with the method with which you're trying to prove your point.