| Exam Board | OCR |
|---|
| Module | C3 (Core Mathematics 3) |
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| Topic | Exponential Equations & Modelling |
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2. (i) Solve the equation
$$\ln ( 3 x + 1 ) = 2$$
giving your answer in terms of e.
(ii) Prove, by counter-example, that the statement
$$\text { "ln } \left( 3 x ^ { 2 } + 5 x + 3 \right) \geq 0 \text { for all real values of } x \text { " }$$
is false.