Preheat oven to 350 degrees F (175 degrees C). Line a 9×5-inch loaf pan with parchment paper, leaving an overhang over 2 sides.
Combine butter, white sugar, brown sugar, vanilla extract, baking powder, and salt in a large bowl; beat with an electric mixer until fluffy. Beat in flour. Beat in eggs one at a time, scraping the bowl after each addition. Pour batter into a 9×5-inch loaf pan.
Bake in the preheated oven until a toothpick inserted into the center comes out clean, about 45 minutes.
Lift cake out of the loaf pan using the overhanging parchment paper. Place on a wire rack and cool completely before slicing, about 30 minutes.
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