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Home » benefit of being part of the Hermes Staff Revealed: Sentiments, Secrets, and Style! - Appcentric

benefit of being part of the Hermes Staff Revealed: Sentiments, Secrets, and Style! - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 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}
x = \frac{-2 \pm 4\sqrt{3}}{2} = -1 \pm 2\sqrt{3}
Valid solution (since \(x > 1\)):

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