Preheat oven to 350F. Butter three 8-9” cake pans and line the bottoms with parchment paper.
In the bowl of a stand mixer fitted with the whisk attachment, combine the olive oil and eggs. Beat until foamy.
Slowly pour in the sugar as you beat until doubled in volume, about 5-6 minutes.
Mix in the baking powder, salt, and vanilla.
Add the olive oil and buttermilk. Mix until smooth.
Add the flour and mix just until combined.
Divide the batter between the prepared cake pans.
Bake for 22 minutes, then reduce heat to 325F to finish baking until set in the centers and lightly golden on top, about another 8-10 minutes. Use a toothpick to insert into the centers and test if it comes out clean.
Let cool in the pans at least 10 minutes before transferring to a wire rack to cool completely.