1.10: Single logarithm and a quadratic in log a 5 (repeat)

0606/13/M/J/18 — Question 6 · 6 marks · Log laws, Change of base, Equations

Identical to Question 1.2 — the same question appeared on paper 13.

(a)
Write (log⁡2p)(log⁡32)+log⁡3q(\log_{2} p)(\log_{3} 2) + \log_{3} q as a single logarithm to base 33.
[3]
(b)
Given that (log⁡a5)2−4log⁡a5+3=0(\log_{a} 5)^{2} - 4\log_{a} 5 + 3 = 0, find the possible values of aa.
[3]