Write as the Sum or Difference of Logarithms and Fully $\log \left( \frac { 1,000 } { \sqrt { x ^ { 2 } + 25 } } \right)$

Multiple Choice

Write as the sum or difference of logarithms and fully simplify, if possible. Assume the variable
represents a positive real number.
- $\log \left( \frac { 1,000 } { \sqrt { x ^ { 2 } + 25 } } \right)$

A) $3 - \frac { 1 } { 2 } \log \left( x ^ { 2 } + 25 \right)$
B) $3 + \frac { 1 } { 2 } \log \left( x ^ { 2 } + 25 \right)$
C) $3 - \log \left( \sqrt { x ^ { 2 } + 25 } \right)$
D) $3 - \log ( x + 5 )$