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Home » This is a well-known equation. Set $ x = 0 $: - Blask

This is a well-known equation. Set $ x = 0 $: - Blask

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Solve the logarithmic equation \(\log_2(x+3) + \log_2(x-1) = 3\).

📌 Combine logs:

📌 \log_2[(x+3)(x-1)] = 3

📌 Convert to exponential form:

📌 Expand and solve:

📌 x^2 + 2x - 3 = 8

📌 x^2 + 2x - 11 = 0

📌 x = \frac{-2 \pm \sqrt{4 + 44}}{2} = \frac{-2 \pm \sqrt{48}}{2}

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