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\( c = 0 \) or \( c = 1 \) - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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\(\log_2(x) + \log_2(x - 2) = 3\) のとき、\(x\) の値を求めなさい。
\[ \log_2(x) + \log_2(x - 2) = \log_2[x(x - 2)] \]
\[ \log_2[x(x - 2)] = 3 \]
\[ x(x - 2) = 2^3 = 8 \]
\[ x = \frac{2 \pm \sqrt{(-2)^2 - 4(1)(-8)}}{2(1)} = \frac{2 \pm \sqrt...
\[ x = \frac{8}{2} = 4 \quad \text{or} \quad x = \frac{-4}{2} = -2 \]
\(x > 2\)（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} \...
\[ 6 \times 9\sqrt{3} = 54\sqrt{3} \]

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