Lux or lumens, it doesn't matter, neither has anything to do with photosynthesis and neither is a useful measure of light intensity for our purposes.
As mentioned they are measures of perceived light intensity, not actual light intensity. They can underestimate blue light, by 2000% or more, compared to yellow-green light, which is problematic as our aquariums tend to use blue light...
In practice, it ends up as mostly a measure of yellow-green light, which is not what we want. I'd strongly recommend looking around to see if someone will lend you a PAR meter...