The problem with the concept of 5X or 15X is it is meaningless with out understanding the focal lengths involved. A 1mm to 50mm is a 50X zoom and a 1mm to 100mm lens it a 100X zoom. That is why I detest the X's concept, it is virtually meaningless unless you understand focal length. To know what you need you need to know how far away they will likely be from you.
Thank you. This is the kind of information I need! In the back of my mind I know about focal length, but I never connected it with cameras. (As I said, I'm not a photographer, just a guy who likes to snap some pictures of the places I go and the things I see.)
So I did some reading on line about focal length. The SX 410 I mentioned in my first post has a range from 24 mm to 960 mm. And it gets very good reviews on Amazon (probably from casual, not serious photographers, given its low price). My little camera goes from 24 mm to 120 mm, so the 410 will go considerably farther.
As for all the comments about guns, those people seem to still think that I'll be walking around among the bears with a chunk of seal blubber tied around my neck. One does not do that unless one is tired of life. In Churchill there are sirens to warn if a bear has come into town, and the bear is trapped and put in the bear jail until the ice forms and it is transported out onto the ice, and outside of town we are never outside of the vehicle or the lodge, both of which are inaccessible to the bears. The windows and viewing platforms are so high up the bears cannot reach them. We are much safer there than I will be driving from my house to the airport.
BTW, the bears often come right up to the buggy or lodge and sit, looking up at the window for a considerably time, making for good photo opportunities. I have a hypothesis about this: They think the windows are like holes in the ice. They hunt by waiting by an air hole for a seal to come up for air. I think they sit under the windows waiting for one of us to come out, like a seal coming up for air. Fortunately, we have enough air inside the buggy and don't need to go out where the bear is in order to breathe.
Bears are super-cool, beautiful animals. Bear attacks are so rare that when they happen they're national news for a week, and they usually involve people who went into deep wilderness alone, or were engaged in extreme activities or just not paying attention. And even then your chances of being attacked by a bear are vanishingly small. Meanwhile, if the news reported all traffic fatalities there'd be no room to cover anything else. You're safer on a well-run bear-viewing trip to Churchill than you are at home in bed. The drive to the airport: that's the dangerous part.