Question

If Log 4 (x) = 12, then log 2 (x / 4) is equal to

A. 11
B. 48
C. -12
D. 22

Answer 1

If log₄ (x) = 12, then log₂ (x / 4) =?
The easiest way:

a) log₄ (x) = 12, re write it in exponential way : x = 4¹² = 16,777,216

b) Plug the value of x in log₂ (x / 4)

log₂ (16,777,216 / 4) → log₂(4,194,304)

and log₂(4,194,304) = 22

Answer 2

Hi,
The answer to your problem is D. 22. Hope this helps and have a wonderful day!