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Home » Rat and Boa Sirena: The Mesmerizing Battle You Won’t Believe Existed! - Dyverse

Rat and Boa Sirena: The Mesmerizing Battle You Won’t Believe Existed! - Dyverse

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Simplify: \( \frac{3x^2 - 12x}{x^2 - 4} \div \frac{3x}{x + 2} \).

📌 First, factor: \( \frac{3x(x - 4)}{(x - 2)(x + 2)} \div \frac{3x}{x + 2} \).

📌 Dividing is multiplying by reciprocal:

📌 \( \frac{3x(x - 4)}{(x - 2)(x + 2)} \times \frac{x + 2}{3x} = \frac{x - 4}{x - 2} \).

📌 #### \( \frac{x - 4}{x - 2} \)

📌 If \( \log_2(x) + \log_2(x - 2) = 3 \), what is the value of \( x \)?

📌 \( \log_2(x(x - 2)) = 3 \) → \( x(x - 2) = 2^3 = 8 \).

📌 \( x^2 - 2x - 8 = 0 \) → \( (x - 4)(x + 2) = 0 \).

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