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= 3 \cdot 30 + 5 - Sourci

📅 April 29, 2026 👤 scraface

Apr 29, 2026

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📌 Combine logs: \( \log_2(x(x - 2)) = 3 \).

📌 So, \( x(x - 2) = 2^3 = 8 \).

📌 \( x^2 - 2x - 8 = 0 \).

📌 Factor: \( (x - 4)(x + 2) = 0 \).

📌 \( x = 4 \) or \( x = -2 \).

📌 But \( x > 2 \) for log to be defined, so \( x = 4 \).

📌 The solution is \( x = 4 \).

📌 Question**: A rectangle has a perimeter of 48 cm and a length that is twice its width. Find its area.

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