Preheat your oven to 350°F (175°C). Grease a 9-inch round pan or loaf pan and line the bottom with parchment paper.
In a medium bowl, whisk together the flour, baking powder, baking soda, cardamom, and salt. Set aside.
In a large bowl, whisk the sugar, olive oil, and eggs until smooth and well combined.
Add the orange zest, orange juice, yogurt (or sour cream), and vanilla extract. Mix until fully incorporated.
Gradually fold the dry ingredients into the wet ingredients, stirring gently until just combined—don’t overmix!
Pour the batter into the prepared pan and smooth the top.
Bake for 35-40 minutes (for a round cake) or 45-50 minutes (for a loaf) until a toothpick inserted in the center comes out clean.
Let the cake cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.