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Preheat the oven to 350°F. Lightly grease a 9" x 13" pan. Or, for easiest removal, grease the pan, line with parchment, and grease the parchment.
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Stir together the melted butter, sugar, and salt.
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Mix in the cocoa powder, beating gently till smooth.
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Add the eggs, again beating gently till smooth.
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Mix in the flour and baking powder, stirring to combine.
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Stir in the peppermint oil. The recommended amount will produce fairly strong mint flavor; adjust to taste.
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Spoon the batter into the prepared pan, smoothing it into the corners.
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Bake the brownies for 20 minutes, until a cake tester inserted into the center comes out clean. Remove them from the oven, and cool completely.
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To make the glaze, stir together the sugar, melted butter, peppermint oil, and milk. Again, add peppermint oil to taste; the amount indicated produces fairly strong mint flavor.
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Spread the glaze atop the brownies. It won't be thick; that's OK.
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If you choose to add the chocolate drizzle, combine the chocolate and cream in a microwave-safe bowl, heating till the cream is very hot and starting to form bubbles. Remove from the microwave, and stir until the chocolate is melted and the mixture is smooth.
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Dollop the drizzle atop the iced brownies. Allow to set for several hours, if possible, before cutting.