| Exam Board | Edexcel |
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| Module | C12 (Core Mathematics 1 & 2) |
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| Year | 2019 |
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| Session | January |
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| Topic | Laws of Logarithms |
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11. (i) Given that \(x\) is a positive real number, solve the equation
$$\log _ { x } 324 = 4$$
writing your answer as a simplified surd.
(ii) Given that
$$\log _ { a } ( 5 y - 4 ) - \log _ { a } ( 2 y ) = 3 \quad y > 0.8,0 < a < 1$$
express \(y\) in terms of \(a\).