| Exam Board | Edexcel |
|---|---|
| Module | P2 (Pure Mathematics 2) |
| Year | 2020 |
| Session | January |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Exponential Equations & Modelling |
| Type | Simple exponential equation solving |
| Difficulty | Moderate -0.8 This is a straightforward exponential equation question requiring students to equate two expressions, take logarithms of both sides, and manipulate using basic log laws. Part (a) is routine sketching, and part (b) is a standard 'show that' requiring no novel insight—just methodical application of logarithm rules taught in P2. Easier than average A-level questions. |
| Spec | 1.06a Exponential function: a^x and e^x graphs and properties1.06c Logarithm definition: log_a(x) as inverse of a^x1.06f Laws of logarithms: addition, subtraction, power rules |
| VIXV SIHIANI III IM IONOO | VIAV SIHI NI JYHAM ION OO | VI4V SIHI NI JLIYM ION OO |
9. (a) Sketch the curve with equation
$$y = 3 \times 4 ^ { x }$$
showing the coordinates of any points of intersection with the coordinate axes.
The curve with equation $y = 6 ^ { 1 - x }$ meets the curve with equation $y = 3 \times 4 ^ { x }$ at the point $P$.\\
(b) Show that the $x$ coordinate of $P$ is $\frac { \log _ { 10 } 2 } { \log _ { 10 } 24 }$
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VIXV SIHIANI III IM IONOO & VIAV SIHI NI JYHAM ION OO & VI4V SIHI NI JLIYM ION OO \\
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\hfill \mbox{\textit{Edexcel P2 2020 Q9 [7]}}