Two distinct numbers `a` and `b` are chosen randomly from the set `{2,2^(2),2^(3),….2^(25)}`. Then the probability that l`log_(a)b` is an integer is

Two distinct numbers a and b are chosen randomly from the set {2,2^(2),2^(3),….2^(25)} . Then the probability that log_(a)b is an integer is

Two distinct numbers a and b are chosen randomly from the set {2,2^(2),2^(3),….2^(25)} . Then the probability that log_(a)b is an integer is

Two distinct numbers a and b are chosen randomly from the set {2,2^(2),2^(3),2^(4),......,2^(25)}. Find the probability that log _(a)b is an integer.

If two distinct numbers a and be are selected from the set {5^(1), 5^(2), 5^(3)……….5^(9)} , then the probability that log_(a)b is an integer is

If two distinct numbers a and be are selected from the set {5^(1), 5^(2), 5^(3)……….5^(9)} , then the probability that log_(a)b is an integer is

Two numbers a and b are chosen at random from the set {1,2,3,..,5n}. The probability that a^(4)-b^(4) is divisible by 5, is

Two numbers a and b are chosen at random from the set {1,2,3,..,3n}. The probability that a^(3)+b^(3) is divisible by 3, is

Two numbers a and b are chosen at random from the set {1,2,3,..,3n}. The probability that a^(3)+b^(3) is divisible by 3, is

If two distinct numbers m and n are chosen at random form the set {1, 2, 3, …, 100}, then find the probability that 2^(m) + 2^(n) + 1 is divisible by 3.

If two distinct numbers m and n are chosen at random form the set {1, 2, 3, …, 100}, then find the probability that 2^(m) + 2^(n) + 1 is divisible by 3.