Use the Properties of Logarithms to Rewrite the Expression $$\log b \left( \frac { m ^ { 2 } p ^ { 6 } } { n ^ { 4 } b ^ { 8 } } \right)$$

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent
positive real numbers.
- $$\log b \left( \frac { m ^ { 2 } p ^ { 6 } } { n ^ { 4 } b ^ { 8 } } \right)$$

A) $m ^ { 2 } p ^ { 6 } - n ^ { 4 } b ^ { 8 }$
B) $\log _ { b } m ^ { 2 } + \log _ { b } p ^ { 6 } + \log _ { b } n ^ { 4 } - \log _ { b } b ^ { 8 }$
C) $2 \log _ { b } m + 6 \log _ { b } p - 4 \log _ { b } n - 8$
D) $2 \log _ { b } m + 6 \log _ { b } p - 4 \log _ { b } n + 8$