Write $\log _{2} \frac{\sqrt{\mathrm{x}(\mathrm{x}+6)}}{\mathrm{x}^{4}}$ As a Sum or Difference of Multiples of Single Logarithms

Multiple Choice

Write $\log _{2} \frac{\sqrt{\mathrm{x}(\mathrm{x}+6) }}{\mathrm{x}^{4}}$ as a sum or difference of multiples of single logarithms.

A) $\frac{3 \log _{2} x}{2}+\log _{2}(x+6)$
B) $\frac{\log _{2} 6 x}{2}-3 \log _{2} x$
C) $\frac{\log _{2} x}{2}+\frac{\log _{2}(x+6) }{2}-4 \log _{2} x$
D) $\log _{2}(x+6) -3 \log _{2} x$