Find the Value Of $\log _ { b } \left( \frac { 49 } { 4 } \right)$

Multiple Choice

Find the value of $\log _ { b } \left( \frac { 49 } { 4 } \right)$ , given that $\log _ { b } 4 = 1.266$ and $\log _ { b } 7 = 1.777$ .

A) $2.288$
B) $1.892$
C) $4.820$
D) $0.511$