Use Properties of Logarithms to Expand the Logarithmic Expression as Much

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible.
- $\log _ { 7 } \frac { \sqrt [ 5 ] { x } \sqrt [ 8 ] { y } } { z ^ { 2 } }$

A) $\frac { 5 } { 7 } \log _ { 7 } x + \frac { 8 } { 7 } \log _ { 7 } y - \frac { 2 } { 7 } \log _ { 7 } z$
B) $\frac { 1 } { 5 } \log _ { 7 } x + \frac { 1 } { 8 } \log _ { 7 } y - 2 \log _ { 7 } z$
C) $\frac { 1 } { 5 } \log _ { 7 } x * \frac { 1 } { 8 } \log _ { 7 } y \div 2 \log _ { 7 } z$
D) $5 \log _ { 7 } x + 8 \log _ { 7 } y - 2 \log _ { 7 } z$