Find the Value of the Expression $\log _ { \mathrm { b } } \mathrm { A } = 2$

Multiple Choice

Find the value of the expression.
-Let $\log _ { \mathrm { b } } \mathrm { A } = 2$ and $\log _ { \mathrm { b } } \mathrm { B } = - 10$ . Find $\log _ { \mathrm { b } } \frac { \mathrm { A } } { \mathrm { B } }$ .

A) $- 8$
B) 12
C) $- \frac { 1 } { 5 }$
D) $\frac { 1 } { 5 }$