Preheat oven to 350 degrees. Line a 8x4 inch loaf pan with parchment paper, spray with pan release or brush with melted butter and set it aside.
Mix the dry ingredients- flour, baking powder, and salt in a small bowl. Set this aside.
Add the butter and sugar to a large bowl. With a hand mixer or stand mixer, beat it on high speed for about 2-4 minutes until the mixture is lighter and fluffier. Be sure the butter is at room temperature before starting.
Next in, add the eggs and vanilla. Remember to only mix these until they are combined. To this goes the Greek yogurt and milk. Again, mix to combine.
Last, add the flour mixture and again, mix to combine.
Pour the batter into your prepared pan. It will be a thick batter, so use a knife of offset spatula to flatten slightly.
Move it to the oven and bake for 45 minutes. Check the cake for doneness. Remember that the cake should be just slightly underbaked. Don't overdo it or the cake will come out dry.
Remove it from the oven and use the parchment paper to carefully set it on a cooling rack.
Allow it to cool for at least 30 minutes before slicing.
Enjoy as you like!