| Exam Board | Edexcel |
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| Module | C2 (Core Mathematics 2) |
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| Topic | Laws of Logarithms |
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- Given that \(p = \log _ { q } 16\), express in terms of \(p\),
- \(\log _ { q } 2\),
- \(\log _ { q } ( 8 q )\).
- The expansion of \(( 2 - p x ) ^ { 6 }\) in ascending powers of \(x\), as far as the term in \(x ^ { 2 }\), is
$$64 + A x + 135 x ^ { 2 }$$
Given that \(p > 0\), find the value of \(p\) and the value of \(A\).
(7)