Okay, your question was a bit misleading. Logic voltage levels are what everyone has been explaining to you (2.5V, 3.3V, or 5V being HI and ~0V being LO).
In this case, that pin that says logic voltage is a power supply pin. It says "logic" to differentiate this power pin from the motor power pins (labelled "motor power supply") and to tell you that the power going into that pin is meant for the PIC and other digital logic on the PCB.
It's a pin to supply power to the logic on the PCB- so do not use a resistor. The resistor thing was just talking about pull-up resistors (connected to +3.3/5V) and pull-down reistors (connected to ground) to make digital signal lines have a default value in the absence of any other signals.