Preheat your oven to 350°F (175°C).

In a large mixing bowl, whisk together flour, baking powder, and salt.

In another bowl, beat eggs and sugar until frothy. Mix in the olive oil, lemon juice, and zest until well combined.

Gradually fold the dry ingredients into the wet mixture using a spatula.

Grease a 9-inch round cake pan with olive oil or line it with parchment paper.

Pour the batter into the prepared pan, smoothing the top with a spatula.

Bake for 30-35 minutes, or until a toothpick inserted in the center comes out clean.

Let the cake cool in the pan for about 10 minutes before transferring it to a wire rack.

Dust with powdered sugar for an elegant finish, if desired.