Suppose for Some Base B > 0 (B ≠ 1) $\log _ { b } \left( \frac { 1 } { 4 } \right)$

Multiple Choice

Suppose for some base b > 0 (b ≠ 1) that logb 2 = A, logb 3 = B, logb 5 = C, and logb 7 = D. Express the given logarithms
in terms of A, B, C, or D.
- $\log _ { b } \left( \frac { 1 } { 4 } \right)$

A) $2 B$
B) $- 2 B$
C) $- 2 \mathrm {~A}$
D) $2 \mathrm {~A}$