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Home » \textTotal ways = \binom155 = 3003 - Esdistancia

\textTotal ways = \binom155 = 3003 - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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📌 \[ \log_2(x) + \log_2(x - 2) = \log_2[x(x - 2)] \]

📌 \[ \log_2[x(x - 2)] = 3 \]

📌 \[ x(x - 2) = 2^3 = 8 \]

📌 \[ x = \frac{2 \pm \sqrt{(-2)^2 - 4(1)(-8)}}{2(1)} = \frac{2 \pm \sqrt{4 + 32}}{2} = \frac{2 \pm \sqrt{36}}{2} = \frac{2 \pm 6}{2} \]

📌 \[ x = \frac{8}{2} = 4 \quad \text{or} \quad x = \frac{-4}{2} = -2 \]

📌 \(x > 2\)（対数の定義域より）なので、\(x = 4\)

📌 一辺の長さ \(s = 6\) の正三角形の面積は：

📌 \[ \frac{\sqrt{3}}{4} s^2 = \frac{\sqrt{3}}{4} \times 36 = 9\sqrt{3} \]

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