Assume That X,y,z and B Are Positive Numbers $\log _ { b } \sqrt [ 4 ] { \frac { x ^ { 5 } y ^ { 2 } } { z ^ { 4 } } }$

Multiple Choice

Assume that x,y,z and b are positive numbers.Use the properties of logarithms to write the expression $\log _ { b } \sqrt [ 4 ] { \frac { x ^ { 5 } y ^ { 2 } } { z ^ { 4 } } }$ in terms of the logarithms of x,y,and z. ?

A) $\frac { 5 } { 4 } \log _ { b } x + \log _ { b } y - \log _ { b } z$
B) $\frac { 5 } { 4 } \log _ { b } x + \frac { 1 } { 2 } \log _ { b } y - \log _ { b } z$
C) $\log _ { b } x + \frac { 1 } { 2 } \log _ { b } y - \log _ { b } z$
D) $\frac { 5 } { 4 } \log _ { b } ( x + y + z )$
E) $20 \log _ { b } x + 8 \log _ { b } y - 16 \log _ { b } z$