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Home » Powerstone Changed Everything – See Why Millions Are Obsessed Today! - IQnection

Powerstone Changed Everything – See Why Millions Are Obsessed Today! - IQnection

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 The equation \( \log_2(x - 1) + \log_2(x + 1) = 3 \) has a solution. What is it?

📌 Using logarithmic identity: \( \log_2[(x - 1)(x + 1)] = 3 \Rightarrow \log_2(x^2 - 1) = 3 \).

📌 So, \( x^2 - 1 = 2^3 = 8 \Rightarrow x^2 = 9 \Rightarrow x = \pm 3 \).

📌 Check domain: arguments of logs must be positive.

📌 If \( x = -3 \), then \( x - 1 = -4 < 0 \), invalid.

📌 If \( x = 3 \), then \( x - 1 = 2 > 0 \), valid.

📌 Thus, the only solution is \( x = 3 \).

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