[STEP Series]: Logarithms and inequalities! (2015 STEP II - Q1)

In today's video, we solve a STEP II question from 2015. This question does not require knowledge beyond that of A levels syllabus, but there are a couple of tricks to behold.
About STEP:
The Sixth Term Examinations Papers (abbreviated STEP) is a Math exam sat by students in Year 12 or 13 in UK, for the purpose of entrance to top universities such as University of Cambridge, Imperial College London and UCL. The syllabus tested is similar to that in A Levels, but the questions require much more thought and creativity to solve.