Preheat the oven to 350°F. Grease a 9-inch cake pan with non-stick cooking spray or olive oil and line the bottom with parchment paper.
In a medium-sized bowl, whisk together the flour, sugars, salt, baking soda and baking powder.
In a large bowl, whisk the olive oil, buttermilk, eggs and lemon juice together.
Add the dry ingredients to the wet and whisk until just combined. It’s okay if the batter is lumpy.
Pour the batter into the prepared pan and bake for about one hour, until the top is nicely browned and a cake tester comes out clean. Transfer the cake to a cooling rack and let cool until you can safely touch the pan, about a half an hour.
Release the cake from the pan by running a knife around the edge and invert the cake onto the rack. Let cool for two hours before slicing and serving. The cake will keep for at least 3 days on the counter, tightly wrapped in plastic wrap.