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    Question

    src="https://www.ixambee.com/questionimage/SSC%20CGL%20Tier-II/SSC%20CGL%20MT%20-%201%20E%20-%20Q%207.JPG" alt="" />
    A 64 Correct Answer Incorrect Answer
    B 8 Correct Answer Incorrect Answer
    C 1 Correct Answer Incorrect Answer
    D 512 Correct Answer Incorrect Answer

    Solution

    Let: x = тИЪ[8 ├Ч тИЫ(64 ├Ч тИЪ[8 ├Ч тИЫ(64 ├Ч ...)])] Start simplifying: x = тИЪ(8 ├Ч тИЫ(64 ├Ч x)) = тИЪ(8 ├Ч 4 ├Ч x(1/3))┬а ┬а ┬а ┬а ┬а ┬а ┬а :: [тИЫ64 = 4] = тИЪ(32 ├Ч x(1/3)) = тИЪ32 ├Ч x(1/6) = 4тИЪ2 ├Ч x(1/6) Now solve = x = 4тИЪ2 ├Ч x(1/6) => x(5/6) = 4тИЪ2 => x = (4тИЪ2)(6/5) Simplify powers = 4тИЪ2 = 22 ├Ч 2(1/2) = 2(5/2) => x = (2(5/2))(6/5) = 23 = 8

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