Preheat the oven to at 350 °F. Butter and flour a 9"x5" loaf pan or Bundt pan.
Combine 3 large eggs,4 egg yolks, 1 teaspoon vanilla extract and half the milk in a small bowl, whisk to combine and set aside.
Sift together 8 oz cake flour, ¼ teaspoon table salt and 1 teaspoon baking powder in a mixing bowl. Add 10 oz granulated sugar to the flour and mix at low speed for 30 seconds. Add 9 oz unsalted butter to the flour and mix until combined. Add the other ½ of the milk and increase the speed to medium high. Mix for a full 2-3 minutes. The batter will lighten in color and texture. If your using a hand mixer add another minute or two to the mixing time.
Scrape the bowl and paddle thoroughly. On low speed, add the egg mixture in 3 increments, scraping the bowl after each addition. Mix just until the eggs are incorporated.
Pour the batter into the prepared pan and smooth to an even layer. Bake until a toothpick inserted in the middle comes out clean (about 55-65 minutes).
Cool in the pan for 10 minutes then turn the cake out onto a cooling rack and cool to room temperature.
Notes
If measuring the flour by volume use the “dip & sweep” method. That is, dip the measuring cup into the flour bin, overfill it, then sweep away the excess.