| Exam Board | Edexcel |
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| Module | C2 (Core Mathematics 2) |
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| Year | 2014 |
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| Session | June |
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| Topic | Exponential Functions |
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8. (a) Sketch the graph of
$$y = 3 ^ { x } , \quad x \in \mathbb { R }$$
showing the coordinates of any points at which the graph crosses the axes.
(b) Use algebra to solve the equation
$$3 ^ { 2 x } - 9 \left( 3 ^ { x } \right) + 18 = 0$$
giving your answers to 2 decimal places where appropriate.