On my g35x the vdc and slip light keep coming on and i'd like to know what that means?

I know this VDC is commonly due to a steering angle sensor.
You need to use an ABS scan tool and check for the following codes.
C1143 (steering angle sensor circuit)
C1144 (steering angle sensor signal)
C1156 (steering angle sensor com cir)
C1163 (steering angle sensor safe)

Its possible you just tripped a code. Take a OBDII scanner and scan for codes. Its possible that if you erase the codes, they wont come back and all will be well. Write down the codes in case and if it comes back look in to them. Maybe abs sensor.

When VDC light is on, it means Vehicle Dynamic Control is engaged and it puts resistant on wheels to reduce slipping.
This is the reason to cause slow acceleration. If you have OBD reader, you may find out why VDC is on; otherwise, ask someone has experience on mechanic for consulting.
VDC issue needs to be resolved or you will consume more gas and wear the car faster.

See if the following information helpful:
1. Keep an eye on the dashboard for the indicators marked "SLIP" and "VDC Off" which will tell you the status of the computerized handling system if handling isn't normal. "SLIP" will blink when VDC is operating. "VDC OFF" means the system is off. Turn the VDC system back on if the Nissan's handling is poor by pressing the "VDC Off" button until the light goes out.

2. Adjust your driving if "SLIP" comes on. "SLIP" means the road conditions may be slippery. The VDC aids in steering and stopping, but be careful, even if VDC is engaged.

3. Remove any aftermarket suspension parts like enhanced shock absorbers if the "VDC Off" light comes on and handling is bad. The VDC system is geared for stock equipment and tires only. Use winter tires or snow chains on snow-covered roads. VDC won't substitute for the correct winter equipment.

4. Don't drive on very inclined corners with high banks and leave the VDC switch on if the handling is poor with VDC on. The system can't operate properly in that environment. Disengage VDC, or avoid those kinds of roads.

The first time this happenned to me I wondered as well. It also happenned during a coold snap. Turned out the VDC light on is a warning for the brake system when the pads need to be replaced. Had the brakes done and the light went off. Happenned several times. -2004 G35X

When ever you get these waring lights it means the computer control module has sensed a fault in the systems many parts or wiring, in order to begin the diagnostics to repair the fualt the system must be scanned for fault codes. this is the number 1 first thing that must bwe done.

I have a 2005 Nissan Pathfinder, the VDC light and the "Slip" light came on the dash, and the slip light was coming on while i was driving at the speed of 20 mph

VDC OFF light will always be off unless you turn it off (this is for traction control). The slip light should not be on however, unless you are driving in rain/snow and the VDC is activated.

Have ther codes checked that are making the engine light come on first.

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I found your answer here:

Why Does the SLIP Light Come on?
The SLIP light represents the vehicle's traction control program. When illumiated it takes over control of throttle and braking based on input from a myriad of sensors. The VDC (traction control) is initiated by wheel slip, yaw and any other factors that make the computer think you're on the verge of loosing control of the vehicle. There have been a lot of complaints about the G35's VDC being too interferring and actually causing harder driving conditions. The VDC can be turned off via a switch to the lower left of the steering wheel (useful if trying to pull out of a snowy spot when wheel spin is necessary, or "spirited" accelerating). Even with the VDC turned off, however, it will still kick in if it detects substantial loss of control. NOTE: if you plan on racing, turn the VDC off. Otherwise it will ****** the throttle when you chirp the wheels from 1st to 2nd gear.