Preheat your oven to 350°F (175°C) and prepare a loaf pan by greasing it lightly or using parchment paper.

In a medium mixing bowl, whisk together the all-purpose flour, baking powder, baking soda, and salt. Set aside.

In another large mixing bowl, blend the granulated sugar and brown sugar. Add the eggs and beat well until fluffy.

Gradually add in the buttermilk, vegetable oil, and vanilla extract to the egg and sugar mixture, stirring until fully combined.

Carefully fold the dry ingredient mixture into the wet mixture until just combined.

Gently fold in the shelled pistachios.

Transfer the batter into the prepared loaf pan.

Bake in the preheated oven for 55-60 minutes, or until a toothpick inserted into the center comes out clean.

Once baked, allow it to cool in the pan for about 10 minutes before transferring it to a wire rack to cool completely.