| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2012 |
| Session | January |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Exponential Equations & Modelling |
| Type | Inverse function with exponentials |
| Difficulty | Moderate -0.8 This is a straightforward algebraic manipulation requiring students to rearrange for x then apply logarithms - a routine C2 skill. It involves only two steps (isolate x^b, then take logs) with no conceptual difficulty beyond basic log laws, making it easier than average. |
| Spec | 1.06f Laws of logarithms: addition, subtraction, power rules |
Given that $y = a + xb$, find $\log x$ in terms of $y$, $a$ and $b$. [3]7 Given that $y = a + x ^ { b }$, find $\log _ { 10 } x$ in terms of $y$, $a$ and $b$.
\hfill \mbox{\textit{OCR MEI C2 2012 Q7 [3]}}