9709 P33 - Jun 2022 - Q3
1506
(a) Show that the equation \(\log_3(2x + 1) = 1 + 2\log_3(x - 1)\) can be written as a quadratic equation in \(x\).
(b) Hence solve the equation \(\log_3(4y + 1) = 1 + 2\log_3(2y - 1)\), giving your answer correct to 2 decimal places.
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