| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2012 |
| Session | January |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Laws of Logarithms |
| Type | State value of basic log |
| Difficulty | Easy -1.8 This question tests direct recall of fundamental logarithm laws with no problem-solving required. All three parts are immediate applications of basic definitions: log_a(1)=0, log_a(a^n)=n, requiring only simplification of exponents. This is more routine than typical A-level questions. |
| Spec | 1.06c Logarithm definition: log_a(x) as inverse of a^x1.06f Laws of logarithms: addition, subtraction, power rules |
4 Given that $a > 0$, state the values of\\
(i) $\log _ { a } 1$,\\
(ii) $\log _ { a } \left( a ^ { 3 } \right) ^ { 6 }$,\\
(iii) $\log _ { a } \sqrt { a }$.
\hfill \mbox{\textit{OCR MEI C2 2012 Q4 [3]}}