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MathNet 2026 — Part 07 Question 172

Math Olympiad Vault · MathNet 2026 — Part 07

Question 172

Let $2 = \log_{b} x$. Find all values of $\frac{x+1}{x}$ as $b$ ranges over all positive real numbers.


(a) $(0,+\infty)$

(c) $(0,1)$

(b) $(1,+\infty)$

(d) all real numbers