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UKMT Senior Mathematical Challenge, 2019

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

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

(A) $0 < x < 1$ (B) $1 < x < 2$ (C) $2 < x < 3$ (D) $3 < x < 4$ (E) $4 < x < 5$

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