| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2022 |
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| Session | June |
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| Topic | Laws of Logarithms |
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3
- Show that the equation \(\log _ { 3 } ( 2 x + 1 ) = 1 + 2 \log _ { 3 } ( x - 1 )\) can be written as a quadratic equation in \(x\).
- Hence solve the equation \(\log _ { 3 } ( 4 y + 1 ) = 1 + 2 \log _ { 3 } ( 2 y - 1 )\), giving your answer correct to 2 decimal places.