If Log 4 (x) = 12, then log 2 (x / 4) is equal to
A. 11
B. 48
C. -12
D. 22
Answers
Answered by
1
Answer:
A.1
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Answered by
1
Answer:
D.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
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