| Exam Board | Edexcel |
|---|---|
| Module | AEA (Advanced Extension Award) |
| Year | 2015 |
| Session | June |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Topic | Exponential Functions |
| Type | Sketch exponential graphs |
| Difficulty | Moderate -0.5 This AEA question tests basic logarithm properties: sketching a translated ln graph and solving a simple logarithmic equation by equating arguments. While AEA context suggests harder material, these specific tasks are routine A-level Core/Pure content requiring only standard techniques with no problem-solving insight, making it easier than average despite the AEA label. |
| Spec | 1.02m Graphs of functions: difference between plotting and sketching1.06d Natural logarithm: ln(x) function and properties1.06e Logarithm as inverse: ln(x) inverse of e^x1.06g Equations with exponentials: solve a^x = b |
(a) Sketch the graph of the curve with equation
$$y = \ln(2x + 5), \quad x > -\frac{5}{2}$$
On your sketch you should clearly state the equations of any asymptotes and mark the coordinates of points where the curve meets the coordinate axes.
[3]
(b) Solve the equation $\ln(2x + 5) = \ln 9$
[3]
\hfill \mbox{\textit{Edexcel AEA 2015 Q1 [6]}}