| Exam Board | Edexcel |
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| Module | C3 (Core Mathematics 3) |
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| Topic | Exponential Equations & Modelling |
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3. (a) Simplify
$$\frac { 2 x ^ { 2 } + 3 x - 9 } { 2 x ^ { 2 } - 7 x + 6 }$$
(b) Solve the equation
$$\ln \left( 2 x ^ { 2 } + 3 x - 9 \right) = 2 + \ln \left( 2 x ^ { 2 } - 7 x + 6 \right)$$
giving your answer in terms of e.