Answer
(a) Product Property of Logarithms
(b) Quotient Property of Logarithms
Work Step by Step
RECALL:
(i) Product Property of Logarithms:
$\log_{a}{bc}= \log_a{b} + \log_a{c}$
(ii) Quotient Property of Logarithms:
$\log_a{\left(\dfrac{x}{y}\right)}=\log_a{x} - \log_a{y}$
Thus,
(a) The property that will be used to write the given expression as a single logarithm is the Product Property of Logarithms.
(b) The property that will be used to write the given expression as a single logarithm is the Quotient Property of Logarithms.
