Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 5.5 AIME, harder Find the answer

13. If the inequality $x^{2}-\log _{a} x \leqslant 0$ holds for all $x \in\left(0, \frac{1}{2}\right]$ , then the range of values for $a$ is:

Pick one

Solution

13. C;

;

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