If you're staining a log home, for the first time, let me give you some advice if you do it yourself.
That is to use this product, which is more of an "oil" than a "stain":
https://blairstowndistributors.com/product/woodguard_exterior/
In clear or very light tint.
All the other stains I've seen used require too much maintenance and too much work to recoat. With the Woodguard oil, all you have to do is spray the house down, if you even bother doing that, before recoating. We used the Woodguard in the log home I grew up in. For the first half of the last 20 years I've lived in my own home with board and batten siding I used the Woodguard, and then it was discontinued for a time and I had to recoat with something else, and went with some semi-transparent latex based stain, and now I've spent the last two weeks trying to strip and power wash the stuff off so I can put the Woodguard back on.
If you don't mind paying someone else to do the work, then I could see going with a dark solid color stain if you like that look. But for long lasting protection with easy DIY recoating (just spray or roll it on, drips and sags don't matter, a little overspray on the roof doesn't matter, etc) then I don't think you can beat the Woodguard.