Use the Product, Quotient, and Power Rules of Logarithms to Rewrite

Multiple Choice

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all
variables represent positive real numbers.
- $$\frac { 1 } { 2 } \log _ { a } x + 3 \log _ { a } y - 2 \log _ { a } x$$

A) $\log _ { a } x ^ { 2 } y ^ { 3 }$
B) $\log _ { a } x ^ { 4 } y ^ { 3 }$
C) $\log _ { a } \sqrt { x } y ^ { 3 }$
D) $\log _ { a } \left( \frac { y ^ { 3 } } { x ^ { 3 / 2 } } \right)$