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To remove the feather edge completely, repeat the same honing process with a finer whetstone, or strop it away from the edge with a strap of leather. A perfectly sharpened edge will not reflect any light, but a couple small nicks are not a big deal.  Most whetstones are two-sided, with a coarse and a fine side. Examples with a finger groove in the middle are safer. Repeat the honing (at least with the coarse stone) each time you're about to use the axe.

Summary:
Sharpen with a fine whetstone or a leather strop (optional).