Answer
$ C-A $
Work Step by Step
$\displaystyle \log_{b}(\frac{3}{2})=\quad $...apply the Quotient Rule: $\displaystyle \quad \log_{b}(\frac{M}{N})=\log_{b}\mathrm{M}-\log_{b}\mathrm{N}$
$=\log_{b}3-\log_{b}2\quad $... use the definitions of A and C
$=C-A $
