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MathNet 2006 — Part 03 Question 120

Math Olympiad Vault · MathNet 2006 — Part 03

Question 120

Suppose $\log_a (2x^2 + x - 1) \gt \log_a 2 - 1$. Then the range of $x$ is ( ).


(A) $\frac{1}{2} \lt x \lt 1$

(B) $x \gt \frac{1}{2}$ and $x \ne 1$

(C) $x \gt 1$