What is the probability that the element from the set {1,2,3,4,5,6} to be the root of the equation 4^(2x-5)=64 ?

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4^(2x - 5) = 64

=> 4^(2x - 5) = 4^3

as 4 is equal we equate the exponent

2x - 5 = 3

=> 2x = 3 + 5

=> x = 8/2

=> x = 4

Now we have the 6 terms of which 4 is one term, so the probability of picking 4 when any number from the set is picked is 1/6.

The required probability is 1/6

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