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Choose the figure

Source: 1984 National High School Mathematics League, Exam One, Problem 2

February 22, 2020
inequalities

Problem Statement

Which figure's shaded part satisfies the inequality logx(logxy2)>0\log_x(\log_x y^2)>0? https://services.artofproblemsolving.com/download.php?id=YXR0YWNobWVudHMvNi83LzY2ZWE5OGJmZjlhNzI1NDM5ZjdiNjZmYTcyZTFkMzEzZjUzMzk5LnBuZw==&rn=NGRkLnBuZw==