The following instructions are how to export a transparent PNG version of my QuantumWarp logo from a SVG using Inkscape.

Once exported to make the white version you can manually change the black to white by using paint.net

Square Logo (400 x 400 / QW)

• Configure the layers to the square version (i.e. all in viewport)
• File --> Export Bitmap
• Select 'Page'
  
• Select desktop for output
• Export

Wide Logo (400 x 1000 / QuantumWarp)

Option 1

• In Document Properties (under the 'File' menu),
  
  alter Custom size to

  Width:1000.00
  Height:400.00

• File --> Export Bitmap
• Select 'Page'
  
• Select folder for output
• Export

Option 2

• Configure the layers to the long version
• File --> Export Bitmap
• Select 'Drawing' (Custom might work the same.)
• You will get some settings like this below
  
• Change the settings in this order

  x0 = 0.000
  y0 = 0.000
  x1 = 1000.000
  y1 = 400.000

• This should give

  Width: 1000px at 90.00 dpi
  Height: 400px at 90.00 dpi

• Select folder for output
• Export