To start, preheat your oven to 350°F (180°C). Then, prepare a 13x9-inch pan by either greasing it or lining it with parchment paper.
In a large bowl, mix the diced apples with the white and brown sugars until thoroughly combined.
Add the olive oil, chopped nuts, beaten eggs, and vanilla extract to the apple mixture, stirring well.
In another bowl, combine the all-purpose flour, baking soda, cinnamon, and salt.
Gradually add the dry ingredients to the apple mixture, stirring until everything is well combined. The batter may seem thick, but that's okay.
Next, pour the batter into the prepared pan, making sure to spread it out evenly.
Bake the cake for approximately 60 minutes, or until a toothpick inserted into the center comes out clean. It's essential to keep an eye on it, as baking times may vary.
Let the cake cool in the pan for a bit before transferring it to a wire rack to cool completely.