Logarithmic Equation

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Given that \(\log_3(x + 5) – \log_3(x – 1) = 2\), find the value of \(x\).

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Hint

Combine the logarithms using the quotient rule: \(\log_b(A) – \log_b(B) = \log_b(\frac{A}{B})\), then convert to exponential form.

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Complete Answer

x = 7/4

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