| Exam Board | Edexcel |
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| Module | P2 (Pure Mathematics 2) |
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| Year | 2022 |
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| Session | June |
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| Topic | Laws of Logarithms |
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4. In this question you must show all stages of your working.
Give your answers in fully simplified surd form.
Given that \(a\) and \(b\) are positive constants, solve the simultaneous equations
$$\begin{gathered}
a - b = 8
\log _ { 4 } a + \log _ { 4 } b = 3
\end{gathered}$$
(6)