Dani's Carrot Cake

Ingredients

• Cake
• 11/4 cups (178g) all-purpose flour
• 1/2 tsp baking soda
• 1/2 tsp baking powder
• 1/4 tsp salt
• 1 tsp ground cinnamon
• 1/8 tsp ground nutmeg
• 1 1/2 cups (195g) finely shredded carrots (from about 4 medium carrots)
• 2/3 cup (140g) granulated sugar
• 1/3 cup (78g) packed light-brown sugar
• 2 large eggs
• 1/4 cup (64g) unsweetened applesauce
• 1 tsp vanilla extract
• 1/2 cup (120ml) vegetable oil
• 3/4 cup (82g) chopped pecans
• Cream Cheese Frosting
• 1/2 cup (112g) unsalted butter, nearly at room temperature
• 8 oz (226g) cream cheese, nearly at room temperature
• 3 1/2 cups (412g) powdered sugar
• 1/2 tsp vanilla extract