Plug in your soldering iron and allow it to begin heating up.
Unscrew the small Phillips-head screw in the middle of the XLR connector on each end of the mic cable. This screw holds the sleeve of the connector in place.
Push the cable up through the sleeve of the XLR. This will pop the three prongs of the XLR connector out of their sleeve so you can access the solder points on the back of the connector. Do this to the other end of the cable as well so that both sides are exposed.
Locate the small numbers near the solder joints on the back of the XLR connections. The pins are labeled 1 to 3 for ease of use.
Melt the solder on pins 1 and 2 using your soldering iron. After the solder has melted, pull the leads out of the back of their pins. Do this for both ends of the cable.
Put the lead that used to be in pin 2 in pin 1 and the lead that used to be in pin 1 into pin 2. Do this for both ends of the cable. This will reverse the use of pin number 2 for this XLR cable for special application. You can only swap pins 1 and 2, as pin number 3 is always used as a ground.
Solder the leads in their new location with fresh solder points.
Pull the XLR sleeve back over the pins and tighten the flat-head screw back down to hold the sleeve in place. Your cable is now ready to use.