| Exam Board | AQA |
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| Module | Paper 2 (Paper 2) |
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| Year | 2021 |
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| Session | June |
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| Topic | Exponential Equations & Modelling |
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6 Show that the solution of the equation
$$5 ^ { x } = 3 ^ { x + 4 }$$
can be written as
$$x = \frac { \ln 81 } { \ln 5 - \ln 3 }$$
Fully justify your answer.