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MathNet 2026 — Part 07 Question 159

Math Olympiad Vault · MathNet 2026 — Part 07

Question 159

Solve the inequality $\frac{1}{3^{x}}\left(\frac{1}{3^{x}}-2\right)\lt 15$.
  1. $\left(-\frac{\log 5}{\log 3},+\infty\right)$
  2. $\left(\frac{\log 3}{\log 5}, 1\right)$
  3. $\left(-\infty, \frac{\log 5}{\log 3}\right)$
  4. $(\log 3, \log 5)$