3.21: Domain and equation with log_5(12x − 4)

0606/11/M/J/25 — Question 8 · 7 marks · Log laws, Change of base, Equations

(a)
Write down the set of values of xx for which log⁡5(12x−4)\log_{5}(12x - 4) exists.
[1]
(b)
Solve the equation log⁡5(12x−4)=6log⁡x125+1\log_{5}(12x - 4) = \dfrac{6}{\log_{x} 125} + 1.
[6]