In a small bowl, mix the water, yeast, and sugar until just combined. Cover with plastic wrap and let sit 5 minutes, or until it begins to foam.
In a stand mixer fitted with a dough hook, combine 1 cup flour and salt. Stir in yeast mixture and olive oil. Add 1/2 cup flour at a time until the dough is smooth, but not sticky. Cover the bowl with plastic wrap and allow the dough to rise for 15 to 30 minutes.
In a small bowl, stir together the butter, garlic powder. and garlic salt. Set aside.
Preheat the oven to 400°F. Line two baking sheets with parchment paper or a silicone mat. Lightly flour the counter or a breadboard and divide the dough into 16 pieces (about 1.5 ounces per piece). Roll each piece into a log about 8 to 10 inches long. Place on baking sheets about 2 inches apart. Let breadsticks rest about 10 minutes before baking.
Bake 10 minutes. Remove from oven and brush the tops with the butter mixture. Bake an additional 3 to 5 minutes, or until the bottom of the breadsticks are lightly browned. Brush any leftover butter over the top when they come out of the oven.
Remove from oven and allow to cool a couple minutes before serving. Serve while warm.
Notes
Storage: These breadsticks taste best the first day, however they can be stored in a covered container up to 3 days. Reheat in the microwave 15 seconds. Breadsticks: If you'd like them a little more brown, bake a few extra minutes or move to the top rack the last couple minutes of baking.