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Home » 12秒奏完, 趋流爆发！发现震撼心灵的Beat Banger Hidden in Plain Sight - Get link 4share

12秒奏完, 趋流爆发！发现震撼心灵的Beat Banger Hidden in Plain Sight - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Thus, the rationalized expression is \( \boxed{2(\sqrt{5} + \sqrt{3})} \).

📌 Find the value of \( x \) that satisfies \( \log_2(x^2 - 4) = 3 \).

📌 Start by rewriting the logarithmic equation in exponential form:

📌 \[ \log_2(x^2 - 4) = 3 \Rightarrow x^2 - 4 = 2^3 = 8. \]

📌 Solve for \( x^2 \):

📌 \[ x^2 = 8 + 4 = 12 \Rightarrow x = \pm \sqrt{12} = \pm 2\sqrt{3}. \]

📌 Since the argument of a logarithm must be positive and \( x^2 - 4 = 8 > 0 \), both values are valid. However, the equation is satisfied by both. Since the question asks for *the* value, and no restriction on sign is given, we present the positive solution as standard unless otherwise specified. But both are mathematically correct. To match typical expectations, we provide the positive root.

📌 Thus, one solution is \( \boxed{2\sqrt{3}} \).

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