| Exam Board | OCR MEI |
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| Module | C3 (Core Mathematics 3) |
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| Topic | Exponential Equations & Modelling |
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5 Given that \(x\) and \(t\) are related by the formula \(x = x _ { 0 } \mathrm { e } ^ { - 3 t }\), show that \(t = \ln \left( \frac { a } { x } \right) ^ { b }\) where \(a\) and \(b\) are to be determined.