NECO 2023 · Paper 1 · Q8

Given that $2\log y = 8\log p + 4\log q$ , express $y$ in terms of $p$ and $q$ .

Worked solution (try it first)

Divide both sides by 2: $\log y = 4\log p + 2\log q$ .
Move the numbers up as powers and combine: $\log y = \log p^4 + \log q^2$
$= \log(p^4q^2)$ .
So $y = p^4q^2$ , option E.