Start by preheating an oven to 180°C (350°F).
Then, grease and line a loaf tin and set aside.
In a small bowl, combine the milk and juice of one lemon. Mix well and set aside (don’t worry if it looks a little clumpy).
In a large bowl, combine the sugar and zest of two lemons. Rub the zest into the sugar between your fingertips until the sugar is fragrant and slightly damp.
Pour in the melted butter and oil, then whisk for 3-5 minutes until light, fluffy, and pale.
Add the vanilla extract and salt, then whisk until fully combined.
Add the eggs in one at a time, whisking well between each addition until fully incorporated.
Add half of the flour and gently fold until mostly combined.
Next, add in the yogurt, followed by the milk and lemon juice mixture (again, don't worry if it looks a little clumpy) and mix until combined.
Add the remaining flour and baking powder, then gently fold until no streaks of flour remain.
Pour the cake batter into the prepared loaf tin.
Optional: For a bakery-style finish, place around 10g of cold butter, cut into small batons, in a straight line down the centre of the batter, or drizzle a thin line of oil down the middle instead. This encourages the loaf to develop that classic bakery-style crack as it bakes.
Bake at 180°C (350°F) for 45-55 minutes, or until golden brown and a toothpick inserted into the centre comes out mostly clean.
Once baked, allow the cake to cool completely before glazing.
To make the glaze: simply whisk together the icing sugar and lemon juice until it reaches a smooth, drip-able consistency.
Pour half of the glaze over the cooled cake and allow it to set. Once set, pour over the remaining glaze and allow it to set completely. Double glazing adds extra lemon flavour and creates that beautiful crackly finish.
Now, simply slice, serve, and enjoy!!