| Exam Board | CAIE |
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| Module | P2 (Pure Mathematics 2) |
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| Year | 2005 |
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| Session | June |
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| Topic | Laws of Logarithms |
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2
- Use logarithms to solve the equation \(3 ^ { X } = 8\), giving your answer correct to 2 decimal places.
- It is given that
$$\ln z = \ln ( y + 2 ) - 2 \ln y$$
where \(y > 0\). Express \(z\) in terms of \(y\) in a form not involving logarithms.