Also, I think she's referring to the entrance pupil as the easy thing to find, and it is pretty easy to find, it turns out. It's precisely the point about which rotation produces no parallax errors. So, rig up a setup that's sensitive to parallax error, and start rotating the camera around different points. It shouldn't take more than a few minutes.
Yes, but to do this:
1) You need a rig that lets you pivot the whole camera system at any point you desire, which is non-trivial (something like a piece of wood with a slot you can slide a nut and bolt across with the tripod mount on one end and a ruler taped to it, but that might not be stable enough for millimeter precision. Might need aluminum or something.).
2) You have to re-perform this entire procedure after focusing, because the entrance pupil could very well change position with respect to easy reference points on the lens' physical body as focusing occurs. So you have to spin the thing around at different pivots until you get no parallax, then position the front node and the object, then focus it, then double check you didn't mess everything up by spinning everything again, and then you probably did mess it up, so you have to now reposition a bit, and refocus again and again until it converges to a limit. For both lenses. It's a converging loop of effort.
And in order to observe the parallax, you're going to want a nice clear well defined object (similar to the pegboard thing) in front of you anyway, that is sensitive to parallax. So I submit that's it's simpler to just use that parallax-relevant object to see if the focal lengths are the same in the first place, without worrying about any of the parameters of the lens. Just move each lens+camera combo until the nearer pegs are equal in the frame, then measure relative parallax in the photos.
Requires less building of stuff (namely the more difficult of the things to build: the precision bracket) and less effort for the same answer.
"The Beginner's forum is for asking basic technical photographic questions about things like shutter speed, aperture, ISO, white balance, metering modes, focusing modes."
This is all directly relevant to the OP's question. The goal is finding a sufficiently easy to do method that a beginner like him/her could follow to answer whether his/her two specific lenses are actually equal focal lengths at the same marked values.