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Let 'a' denotes the number of non-negati...

Let 'a' denotes the number of non-negative values of p for which the equation ` p^(2^(x))-2^-2x = 5` possess a unique solution. If `a, a_1 a_2 a_3, ... a_20,6` are in HP. and a, `b_1, b_2,b_3,........b_20, 6` are in A.P., then find the value of `a_18b_3-5.`

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