Gather all your ingredients.
Preheat your oven to 350°F (175°C). Grease and flour your loaf pan.
In a bowl, mix the wet ingredients: yogurt, vegetable oil, eggs, lemon zest, lemon juice, and vanilla extract until smooth.
In another bowl, whisk together the dry ingredients: flour, sugar, baking powder, and salt.
Fold the wet mixture into the dry ingredients gently until just combined.
Pour the batter into the prepared loaf pan and smooth the top.
Bake in the preheated oven for 50-60 minutes, checking for doneness with a toothpick.
Let the cake cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.
Dust with powdered sugar if desired, slice, and enjoy.