Maths Olympiad Prep

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Algebra Difficulty 2.0 Junior Find the answer United Kingdom

The number xx is the solution to the equation 3(3x)=3333^{(3^x)} = 333. Which of the following is true?

(A) 0<x<10 < x < 1 (B) 1<x<21 < x < 2 (C) 2<x<32 < x < 3 (D) 3<x<43 < x < 4 (E) 4<x<54 < x < 5

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