| Exam Board | Edexcel |
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| Module | AEA (Advanced Extension Award) |
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| Year | 2019 |
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| Session | June |
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| Topic | Exponential Equations & Modelling |
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1．（a）By writing \(u = \log _ { 4 } r\) ，where \(r > 0\) ，show that
$$\log _ { 4 } r = \frac { 1 } { 2 } \log _ { 2 } r$$
（b）Solve the equation
$$\log _ { 4 } \left( 5 x ^ { 2 } - 11 \right) = \log _ { 2 } ( 3 x - 5 )$$