Expand a Ssume That All Variables Represent Positive Real Numbers $\log _{d}\left(\frac{a^{8} b^{2}}{c^{6} d^{3}}\right)$

Multiple Choice

Expand. A ssume that all variables represent positive real numbers.
- $\log _{d}\left(\frac{a^{8} b^{2}}{c^{6} d^{3}}\right)$

A) $8 \log _{d} a+2 \log _{d} b-6 \log _{d} c+3$
B) $a^{8} b^{2}-c^{6} d^{3}$
C) $\log _{d} a^{8}+\log _{d} b^{2}+\log _{d} c^{6}-\log _{d} b^{3}$
D) $8 \log _{d} a+2 \log _{d} b-6 \log _{d} c-3$