First of all, your claimed numbers are false:
Obama's "Unfavorable" are exactly the same as Sarah Palin's "Unfavorables" : "Almost 50%"
Secondly, logic is not your strong suit. Has it ever crossed your mind that the variable that you plug into an equation matters?
Obama can't win against who or what if he has horrible polling?
A candidate more popular than Obama is?
A candidate less popular than Obama is?
Charlie Manson?
A potted plant?
Since you have such a problem with elementary logic, let me simply it for you:
The only way that a weak midget is going to win a boxing match is to pit him against an even weaker midget.
Unless both midgets are comatose or dead, somebody is going to win.
Whatever Obama's "Unfavorable" ratings may be, the polls still show Obama beating Palin like a red-headed stepchild, even now, when Obama's popularity is lower than whale scat at the bottom of the ocean.
Rasmussen .... 2012 Match-ups: Obama 48%, Palin 42%
Obama has such horrible polling that he will most likely be defeated by any Republican with decent polling.
The only way that Obama can win with his horrible polling is to give him an opponent that the majority of American voters want even less : Sarah Palin.
So Obama’s and Palin’s unfavorables are almost exactly the same in your words, but Palin can’t possibly win from your prior posts. Apparently you are worried that Obama will have a chance of winning. Incumbents always have a chance of winning. And conservatives (true conservatives) always poll low in out years (Reagan, Rand Paul, etc.) and often trounce their opponent in the actual election. Meanwhile moderates like McCain (and Romney) poll well in out years . . . and often lose.
Here are some reasons to consider voting for Palin:
1) She took on big oil in Alaska and won. She’s willing to take risks on behalf of the people.
2) She took on a corrupt sitting governor of her own party in Alaska and won. She’s willing to take risks on behalf of the people.
3) She’s helped bring more conservatives into Congress and the Senate than anyone in modern history. She’s on the right side of politics.
4) She’s the only major presidential prospect talking about the inflationary consequences of QE2.
5) The times are desperate. Winning with a moderate who plays at the edges of our budget will hardly slow down our nations fall at all.
6) Moderates who win end up hurting the party (Bush I, Bush II).
7) Moderates who are nominated often don’t win (Dole, McCain).
8) Palin is brilliant. She changes the rules of the game. If she is being bankrupted by progressives bringing law suits against her as Governor . . . she does the impossible . . . and steps down . . . and becomes stronger politically.
9) Obama is so unpopular that it’s an opportunity to win with a true conservative.
10) You can trust Palin.