How do you know when to use logarithmic differentiation?

Our star pitcher, foster enlight, can throw a pitch so fast that it gets to the catcher’s mitt before it leaves foster’s fingers! if the team wins a game then the probability that foster was pitching is 0.8 but only if foster had at least one day’s rest since his last pitching assignment. if foster does not have a day off and the team still wins, the probability that foster was pitching drops by half of what it was on the previous day. if the team wins three games in succession from the toronto tachyons and foster pitched in game #2, what is the probability that he pitched in one or more of the other games? (assume that foster did not pitch on the day before the first game of this three game series.)

Agame has a rectangular board with an area of 44 in2. there is a square hole near the top of the game board in which you must not toss in a bean bag. the square has side lengths of 3 in. what is the probability of not tossing the bag through the hole? a)9/44 b)3/9 c)3/44 d)35/44

5,678.321 what place value is the 1 in