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Home » Using the property: \(\log_b(m) + \log_b(n) = \log_b(mn)\): - Baxtercollege

Using the property: \(\log_b(m) + \log_b(n) = \log_b(mn)\): - Baxtercollege

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 \( x^2 - 2x - 8 = 0 \).

📌 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.

📌 Let width = \( w \), length = \( 2w \).

📌 Perimeter: \( 2(w + 2w) = 48 \Rightarrow 6w = 48 \Rightarrow w = 8 \).

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