| Exam Board | SPS |
|---|---|
| Module | SPS FM (SPS FM) |
| Year | 2020 |
| Session | October |
| Marks | 3 |
| Topic | Laws of Logarithms |
| Type | Express log in terms of given variables |
| Difficulty | Easy -1.2 This is a straightforward logarithm manipulation question requiring only basic log laws (product and quotient rules). It involves direct substitution with no problem-solving or insight needed—simpler than a typical A-level question which would require multiple techniques or application to a context. |
| Spec | 1.06f Laws of logarithms: addition, subtraction, power rules |
Let $a = \log_2 x$, $b = \log_2 y$ and $c = \log_2 z$.
Express $\log_2(xy) - \log_2(\frac{z}{y})$ in terms of $a$, $b$ and $c$. [3]
\hfill \mbox{\textit{SPS SPS FM 2020 Q2 [3]}}