Given That Log 2 5 = 2 $\log _ { 2 } \sqrt [ 8 ] { 5 }$

Multiple Choice

Given that log 2 5 = 2.3219 and log 2 7 = 2.8074, evaluate the expression $\log _ { 2 } \sqrt [ 8 ] { 5 }$ by using properties: For positive real numbers b , r and s , where b $F$ 1, and for any real number p , $\log b r s = \log b r + \log b s$ $\log b \frac { r } { s } = \log b r - \log b s$ $\log b r ^ { p } = p \left( \log _ { b } r \right)$

A) 0.1672
B) 0.2827
C) 0.2902
D) 0.2602