Answer
(a) matches (ii)
(b) does not match.
(c) matches (iii).
(d) does not match.
Work Step by Step
Using the properties of $\ln (u/v)=\ln u-\ln v$, $e^{ln u}=u$, we have
(a) $\ln (a/b)=\ln a-\ln b$, so (a) matches (ii)
(b) $\ln a/\ln b $ has no special forms, so (b) does not match.
(c) $e^{(\ln a-\ln b )}=e^{\ln (a/ b) }=a/b$, so (c) matches (iii).
(d) $(\ln a)( \ln b )$ has no special forms, so (d) does not match.
