From The Logan FAQ's
2.14.. There are many places on your lathe that require frequent lubrication. Check your Logan manual for a listing of oil points. Logan manuals can be bought from Logan Actuator.
The ways (bed) of the lathe should be lubricated with a heavy, sticky oil called way lube. This is available in a few different viscosities (thicknesses). The right oil for Logan lathes is ISO VG-68 oil such as Mobil Vactra No. 2, Exxon Febis K68, Shell Tonna T68, Sun Way Lubricant 1180, Texaco Way Lubricant 68, Gulf Gulfway 68, or Chevron Vistac Oil 68X. These oils are available from most industrial suppliers like MSC and cost under $15 per gallon. Don’t substitute. Use true way lube and apply it with a clean cloth every time you use the lathe.
All other oil spots on the Logan Lathe can be oiled with ISO 22 grade spindle oil or SAE 10-weight non-detergent motor oil. Don’t use common “detergent” motor oil. You can get SAE 10-weight non-detergent motor oil from large automotive parts dealers for under $2 per quart. You can get ISO 22 grade spindle oil from industrial suppliers like MSC for under $10 per gallon.