| Exam Board | Edexcel |
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| Module | C2 (Core Mathematics 2) |
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| Topic | Exponential Equations & Modelling |
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5. (a) Find the value of \(a\) such that
$$\log _ { a } 27 = 3 + \log _ { a } 8$$
(b) Solve the equation
$$2 ^ { x + 3 } = 6 ^ { x - 1 }$$
giving your answer to 3 significant figures.