1.3: Logarithmic equations with bases 3, 9 and 4

0606/11/M/J/19 — Question 7 · 8 marks · Log laws, Change of base, Equations

(a)
Solve log⁡3x+log⁡9x=12\log_{3} x + \log_{9} x = 12.
[3]
(b)
Solve log⁡4(3y2−10)=2log⁡4(y−1)+12\log_{4}(3y^{2} - 10) = 2\log_{4}(y - 1) + \dfrac{1}{2}.
[5]