Preheat your oven to 375°F (190°C) and then grease and flour a 9 1/2 inch cake pan.
In a medium sized bowl mix together the flour, ground almonds, salt and baking powder.
Massage the lemon zest into the sugar by rubbing it with your fingers, allowing the sugar to become infused with the zest's flavor.
In a separate bowl, beat the sugar and eggs on medium high (I use a hand mixer) for about two minutes (the mixture should have doubled in size and lightened in color).
Now, whisk in the lemon juice and Greek yogurt on a low speed.
Finally, add the olive oil by slowly drizzling it in while mixing on low.
When combined, fold in the flour mixture by hand using a rubber spatula. Stop mixing as soon as everything is combined-- you don't want to over mix.
Pour the batter into the greased and floured cake pan and bake about 50 minutes in a preheated (375°F) oven (or until a toothpick inserted in the middle comes out with only a few crumbs).
Take your cake out of the oven and let cool for at least 20 minutes before removing from the cake pan. Right before serving dust with powdered sugar.