- Preheat oven to 350°F. Grease a 9-inch springform pan with olive oil or butter, line the bottom with parchment paper, and set aside. 
- In a large bowl, whisk together the flour, baking powder, baking soda, and salt. 
- In another bowl, whisk the olive oil, eggs, sugar, lemon zest, lemon juice, yogurt, and vanilla until smooth and well combined. 
- Add the wet ingredients to the dry ingredients and mix until just combined. Be careful not to overmix. 
- Pour the batter into the prepared pan and smooth the top. 
- Bake for about 40–45 minutes, or until a toothpick inserted into the center comes out clean. 
- Let the cake cool slightly in the pan before releasing. Dust with powdered sugar before serving, if desired.