I wanted to write the following as a spoiler, in an answer, but the syntax >! did not work.
! Essentially,
$\log_5(6/5) = \log_5(6) - \log_5(5) = a/b -1$
since $\log_56=\dfrac{\log_4 6}{\log_4 5} = \dfrac{a}{b} $
Can somebody point out what went wrong?