Preheat oven to 375°F / 190°C.
Place pecans on a sheet pan in a single layer and toast in the oven for 5 - 10minutes, until fragrant. Remove and set aside to cool before chopping.
Put butter in a small sauce pot and melt over medium heat. Continue cooking for 5 or 6 minutes until it is foamy and starts to deepen in color to a light brown. It will smell nutty and fragrant — that's your cue to remove it from the heat and set aside to cool. Do not cook butter past light brown, it burns very quickly.
In a medium bowl, combine flour, salt and baking powder.
In a separate bowl (or the bowl of a stand mixer), combine browned butter and brown sugar, then add eggs, one at a time.
Add vanilla bean paste, and continue mixing for 4 - 5 minutes. Add dry ingredients, and mix until barely combined. Then add pecans and mix until nuts are incorporated. (You may not get them all in, that's ok. You will do it when forming the logs.)
On a parchment lined sheet pan, form 2 loaves of dough roughly 3" wide by 3/4" thick.
Bake for 22-24 minutes. Remove from oven and let cool for 20 minutes. Slice logs into approximately 1/2" slices and lay them on their sides.
Reduce heat to 300°F / 150°C and bake for an additional 18 - 20 minutes.
Cool completely before drizzling with melted chocolate (if desired).