For a multi-day outing, the principal blade I'd be inclined to take is my Gransfors Bruks Mini-Belt Axe. Also the Ritter Mk-1 mini (3 oz). A Ritter Mk-5 (1 oz) would also be along (that blade goes with me to the grocery - it's in my wallet).

Upon the recommendations on this forum, I've also acquired a number of the Mora knives. They are light and you're getting a fair amount of decent steel for the money. I keep a couple of the stainless steel in my car.

For any day hike, near to the city or further out, I have a Ritter Mk-1 with me.

From the Gransfors Bruks website, on the Mini-Belt Axe:

It is hand forged of high carbon Swedish steel and tempered at the bit to a hardness of 57 Rockwell C.

This little hatchet has a 2½ inches cut-ting edge, a 10 inches hickory handle and weighs only about 12 oz. The hatchet comes with a grain-leather sheath.