| Exam Board | Edexcel |
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| Module | C12 (Core Mathematics 1 & 2) |
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| Year | 2018 |
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| Session | October |
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| Topic | Exponential Equations & Modelling |
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13. (i) Find the value of \(x\) for which
$$4 ^ { 3 x + 2 } = 3 ^ { 600 }$$
giving your answer to 4 significant figures.
(ii) Given that
$$\log _ { a } ( 3 b - 2 ) - 2 \log _ { a } 5 = 4 , \quad a > 0 , a \neq 1 , b > \frac { 2 } { 3 }$$
find an expression for \(b\) in terms of \(a\).