| Exam Board | Edexcel |
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| Module | C2 (Core Mathematics 2) |
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| Year | 2013 |
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| Session | June |
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| Topic | Laws of Logarithms |
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7. (i) Find the exact value of \(x\) for which
$$\log _ { 2 } ( 2 x ) = \log _ { 2 } ( 5 x + 4 ) - 3$$
(ii) Given that
$$\log _ { a } y + 3 \log _ { a } 2 = 5$$
express \(y\) in terms of \(a\).
Give your answer in its simplest form.