Begin by preheating your oven to 350°F (175°C). Prepare a 15x10 inch jelly roll pan by lining it with parchment paper, ensuring to lightly grease the paper for easy removal later.
In a large mixing bowl, use an electric mixer on high speed to vigorously beat the eggs and granulated sugar together until the mixture becomes thick and pale, which should take about 5 to 7 minutes. Once achieved, stir in the vanilla extract until evenly combined.
In a separate bowl, sift together the all-purpose flour, unsweetened cocoa powder, baking powder, and salt. Gradually incorporate these dry ingredients into the egg mixture, folding gently with a spatula until just blended—do not overmix to maintain a light texture.
Carefully fold in the melted unsalted butter until the batter appears silky and smooth; take care not to overwork the batter.
Pour the batter into the prepared jelly roll pan, spreading it out evenly with a spatula. Bake for 12-15 minutes, or until the surface of the cake springs back when gently pressed in the center.
As the cake bakes, prepare a clean kitchen towel by dusting it generously with powdered sugar. Once the cake is fully baked, promptly invert it onto the prepared towel, carefully peeling away the parchment paper. Roll the cake up tightly in the towel from one of the shorter ends. Allow it to cool completely while rolled up in the towel to maintain its shape.
To make the chocolate filling, heat the heavy cream over medium heat in a saucepan until it just begins to simmer, then remove it from the heat. Add the chopped dark chocolate and stir until it melts and the mixture is smooth. Allow it to cool slightly and then whisk until it holds soft peaks.
Once the cake has cooled, gently unroll it. Evenly spread the chocolate ganache over the surface of the cake, taking care to leave a small border around the edges. Drizzle caramel sauce over the ganache, followed by an even sprinkle of crushed praline pecans for added texture and flavor.
Carefully roll the cake back up, this time without the towel, ensuring to roll it tightly. Place the seam-side down on a serving platter for presentation.
For the final touch, gently reheat any leftover ganache until it is pourable, then pour it generously over the Yule log, letting it cascade down the sides for a beautifully draped effect.
To finish your creation, sprinkle additional crushed praline pecans on top and dust the entire log with powdered sugar to evoke a wintry, snowy appearance.
Notes
Present on a rustic wooden board or decorative platter, garnished with mint leaves or additional praline pecans.