Use the Properties of Logarithms to Rewrite the Expression $\log _ { b } \left( \frac { m ^ { 7 } p ^ { 5 } } { n ^ { 3 } b ^ { 2 } } \right)$

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log _ { b } \left( \frac { m ^ { 7 } p ^ { 5 } } { n ^ { 3 } b ^ { 2 } } \right)$

A) $\log _ { b } m ^ { 7 } + \log _ { b } p ^ { 5 } + \log _ { b } n ^ { 3 } - \log _ { b } b ^ { 2 }$
B) $7 \log _ { b } m + 5 \log _ { b } p - 3 \log _ { b } n + 2$
C) $7 \log _ { b } m + 5 \log _ { b } p - 3 \log _ { b } n - 2$
D) $m ^ { 7 } p ^ { 5 } - n ^ { 3 } b ^ { 2 }$