In the bowl of the stand mixer fitted with the paddle attachment, beat the cream cheese on medium speed. Scrape the sides and bottom of the bowl, then beat for another minute, until smooth.
5 cups cream cheese, room temperature (5 blocks)
Beat in the sugar and salt, stopping to scrape down the bowl a few times while beating. Beat until completely smooth.
1 ⅓ cups granulated sugar, ¼ teaspoon fine sea salt
Beat in the cream, lemon juice, lemon zest and vanilla. Beat on low until well combined, about a minute. Scrape down the sides and bottom of the bowl with a spatula and mix for an additional minute.
½ cup heavy cream, room temperature, 1 tablespoon lemon juice, 1 tablespoon lemon zest, 2 teaspoon pure vanilla extract
Beat in the egg yolks, and eggs. Scrape down the sides and bottom of the bowl with a spatula. Beat for an additional minute.
5 large eggs, room temperature, 2 large egg yolks, room temperature
Place the foiled wrapped springform pan into a roasting pan or a large cake pan a few inches larger in diameter than the springform pan.
Prepare a pitcher of hot water.
Pour the cheesecake mixture into the springform pan, and use an offset spatula to smooth out the batter.
Place the roasting pan into the oven. Fill the roasting pan with the hot water, just enough to come halfway up the sides of the foil of the springform pan. Take care to not get water in the cheesecake.
Bake the cheesecake until the cheesecake jiggles slightly, no longer appears wet and an instant read thermometer reads 150F, about 90 to 120 minutes.
Once done baking, turn off the oven. Prop the oven door open slightly with a wooden spoon. Let the cheesecake slowly cool in the water bath in the oven for 45 minutes.
Remove the cheesecake from the oven. Remove the foil. Place the cheesecake on a wire rack.
Run a small knife around the edge of the pan to loosen the cheesecake and keep it from splitting in the middle. Cool the cheesecake to room temperature, about 2-3 hours, then transfer to the fridge to chill completely, about 6 hours.