Preheat oven to 350°F. Grease a 9×5 loaf pan and set aside.
Using a hand mixer or a stand mixer fitted with the paddle attachment, cream the butter with the sugar until smooth and lighter in color. Mix in the yogurt and vanilla extract.
Add the flour, baking powder, and salt and stir on low speed until just combined. Fold in the chocolate chips.
Pour batter into prepared pan and bake for 55-60 minutes, or until a toothpick inserted into the center of the cake comes out clean. Cool in pan for 10 minutes.