In order to get a finished and beautiful video shot in the Canon C-Log profile, you need to download and apply a file with LUT tables in a video editor. Simply put, it's called color Log.
The problem with the loot file for Canon cameras is that it's not clearly located. It is downloaded from the official Canon website, but I could not find this file on the Russian site. There is great description of what Log is, but not the loot file itself.
In order to find the LUT file for Canon-Log, you need to type in the search engine "canon r lut table«.
I found a suitable file on the Canon Canada website:
There are three options for 3D LUTs: 17 cells, 33 cells and 65 cells. They differ in accuracy of painting. The more - the more accurate, but the more the file weighs. For example, on-camera monitors usually do not support 65 cell Lut files. And when using Loot for 17 cells, banding is possible (but not always). Universal option - loot for 33 cells (Grid).
Also Log files depend on the color space. For Canon cameras, this is BT709 by default, although in R5 you can switch to BT2020. When you overlay a Lut file, it must match the setting in the camera for this parameter.
That's not all
After you apply the LUT to your video in the editor (I won't dwell on this), you will need to add saturation and possibly contrast. This must already be done for taste and color. After this, the video in the C-Log profile will definitely be ready.
I described the scheme of how to paint with canonical loot - that is, from the manufacturer's website. There are also plenty of places on the internet where you can download custom loot. You can also make your own loots, for this you need a program such as 3D Lut Creator.
Also read: How to view mileage on Canon cameras?