Answer
$\log{A} +2\cdot\log{B} + 3\cdot\log{C}$
Work Step by Step
RECALL:
(1) $\log{(PQ)}= \log{P} + \log{Q}$
(2) $\log{(P^n)}=n \cdot \log{P}$
Use rule (1) above to obtain
$\log{(AB^2C^3)}=\log{A} +\log{B^2} + \log{C^3}$
Use rule (2) above to obtain:
$\log{A} +\log{B^2} + \log{C^3}=\log{A} +2\cdot\log{B} + 3\cdot\log{C}$
