## Algebra 2 Common Core

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.