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Home » \Rightarrow a + 2b = 3, \quad c + 2d = 4 - IQnection

\Rightarrow a + 2b = 3, \quad c + 2d = 4 - IQnection

📅 May 2, 2026 👤 scraface

May 02, 2026

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f'(2) = 3(2)^2 - 8(2) + 5 = 12 - 16 + 5 = 1
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}

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