Preheat and Prep: Start by preheating your oven to 350°F (175°C). While that’s heating up, grease a round cake pan to prevent sticking.
Mix Wet Ingredients: In a large mixing bowl, combine the yogurt, sugar, vegetable oil, eggs, and vanilla extract. Whisk the mixture until well combined and smooth.
Combine Dry Ingredients: In another bowl, whisk together the flour, baking powder, and salt.
Combine Mixtures: Gradually fold the dry ingredients into the wet ingredients. Mix gently until the batter is smooth and free of lumps.
Bake the Cake: Pour the batter into the prepared cake pan and spread it evenly. Bake for about 30-35 minutes, or until a toothpick inserted into the center comes out clean.
Cool and Serve: Let the cake cool in the pan for about 10 minutes, then transfer it to a wire rack to cool completely. Dust with powdered sugar or garnish as desired before serving!