Step 1: Preheat your oven to 350°F. Grease a 9"x5" loaf pan with olive oil and line it with parchment paper.
Step 2: In a medium bowl, whisk together the flour, salt, and baking powder.
Step 3: In a large bowl, beat together the granulated sugar and olive oil until well combined. Add the eggs, beating until light and fluffy. Mix in the lemon zest, lemon juice, and vanilla. Gradually add the dry ingredients and beat until just combined.
Step 4: Pour the batter into the prepared pan and bake for 60 to 70 minutes, until a toothpick inserted into the center comes out clean.
Step 5: Let the cake cool in the pan for 10 minutes before transferring it to a wire rack to cool completely.