QGIS 3x label appearance at different zoom level

Question

I have a problem.
In my QGIS project, all the labels appear the same despite the zoom level. What looks good when the zoom is big, it's not as great when zooming out.
I found a way to get it disappeared,
Label display at different zoom level of single shapefile?
but I need it smaller only. Is there any way to set the different font sizes for different zoom levels?
I've already the expression based on one of the table value:
  CASE
  WHEN "Visible" = 1 then color_rgb (0, 0, 0)
  End

How can I integrate this expression with the answer below?

Louis Cottereau · Accepted Answer

You can set an expression based rule for the font size, something along the lines of :
if(@map_scale<1000, 10, 30 /log(8, @map_scale))

This expression will make so the font size is 9 at a scale of 1:1001 to 5.8 at 1:50000 for example
you can play with the 30/log(8, @map_scale) expression to try to have something that suits you better.

QGIS 3x label appearance at different zoom level

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