Question

If Log 4 (x) = 12, then log 2 (x / 4) is equal to 
A. 11 
B. 48 
C. -12 
D. 22​

Answer 1

Answer:

22

Step-by-step explanation:

We have log(4) x = 12. We need to find log(2) (x/4)

log(2) (x/4) = log (2) x - log(2) 4

=> log(2) x - log(2) 2^2

use log a^b = a*log b

=> log(2) x - 2 ...(1)

log(4) x = 12

=> x = 4^12

=> x = 2^2^12

=> x = 2^24

take log to base 2 of both the sides

=> log(2) x = 24

Substituting in (1)

log(2) x - 2

=> 24 - 2

=> 22

Hope this helps you ☺

Mark Brainliest ❤

The required value of log(2)(x/4) = 22

Answer 2

please see the attachment