2.13: Exponential equation; log equation with reciprocal

0606/22/O/N/18 — Question 4 · 8 marks · Exponentials, Equations, Change of base

(i)
Solve 23x1=62^{3x - 1} = 6.
[3]
(ii)
Solve log3(y+14)=1+2logy3\log_{3}(y + 14) = 1 + \dfrac{2}{\log_{y} 3}.
[5]