Question

What is the value of
`(log_(27)9xxlog_(16)64)/(log_(4)sqrt(2))`?
A. 1
B. 2
C. 4
D. 8

Answer 1

Correct Answer - C
Consider `((log_(27)9)(log_(16)64))/(log_(4)sqrt(2))`
`=(log_(3^(3))(3^(2))log_(4^(2))(4)^(3))/(log_(2^(2))(2^(1//2)))`
`=((2)/(3)log_(3)3xx(3)/(2)log_(4)4)/((1)/(2xx2)log_(2)2)=(1)/((1)/(4))=4`