Plenty of good advice here from multiple posters.
Myself being a minimalist and all, I prefer low powered, non-variable power scopes of no more than 6x for open places like Grassveld areas or The Kalahari, etc and no more than 4x for normal Southern Africa hunting conditions.
Part of the reason for this is that all these huge front lens scopes so popular today, can make a rifle top-heavy and out of balance.
Another part of my reasoning is that generally (not always) they are higher magnification than I need for hunting and actually become problematic at close range for me in trying to find my critter before it gets away.
Nothing is worse than trying to get "the swing" on some erratic running critter at very close range with a clubby/awkward section of bridge timber, in your hands that has a section of heavy sewer pipe bolted on top of it, not to mention having to carry such an unwieldy thing over steep geography for a couple of weeks.
On the other hand, it is a joy to do the same with a sleek, handy and well balanced rifle that has the scope properly mounted down low, very close to the bore and the eye relief is generous, etc., etc.
I am not a big fan of the .300 Winchester (recoil is fast enough to hurt my sissy shoulder), especially for the usual close range hunting so common with most of Southern African countries (too destructive on the edible meat at close range).
However, I readily admit that with properly stout / bonded core type bullets of about 180 grains or so, the .300 Winchester is a long range beauty in the hands of a non-flincher.
When I was a kid, back in the late 1960s, in my neighborhood was a man who owned only one "deer rifle".
It was a Sako, caliber .300 Winchester and in Redfield mounts/low rings, he had a Redfield 4x scope.
He was not a rifle enthusiast but was an avid hunter.
With this outfit, he shot everything from ground squirrels to elk.
His photos (and antler collection in his garage rafters) was truly impressive.