How to plot a family of 2-d logarithmic curves in 3-d

Questions
1

I am trying to plot a family of logarithmic curves. Each curve is in the XY plane as Y=log (X). However there are multiple planes in Z value increments of 4. i.e.:
Z=0, Y=Log(X)
Z=4, Y=Log(X)
Z=8, Y=Log(X)
etc…

Similarly I need the mirror images of these curves plotted with the planes shifted on the Z-axis by 2 i.e.
Z=2, Y=Log(-X)
Z=6, Y=Log(-X)
Z=10, Y=Log(-X)
etc…

I hand drew the curves with the most imporant curves solid and the other curves dotted.

LogCurves.png
LogCurves.png2319×1775 26.1 KB

I was trying to find a program that would plot these curves and tried and failed with Desmos. This is the reason I am trying Mathematica. I would greatly appreciate it if anybody could help me or at least point me to a discussion thread which would help me draw this diagram.
Thanks,
Suresh

2

You might try experimenting with ParametricPlot3D. However, it draws axes on the edges of the bounding box.

ParametricPlot3D[
 {
  {x, 0, Log10[x]},
  {x, 4, Log10[x]},
  {x, 8, Log10[x]}
  }, {x, 0, 100}, BoxRatios -> {1, .5, .5}, Boxed -> False
 ]

para.png
para.png370×267 3.9 KB

3

Thank you.
Suresh