Mathematics

Solve the equation log8x – 4log8x = 2

Solve the equation log8x – 4log8x = 2
  • A.1/4
  • B.1/2
  • C.
    1
  • D.
    2
  • E.
    4
Correct Answer: Option A
Explanation

log8x – 4log8x = 2; log8x – log8x4 = 2
log8x/x4 = 2
x/x4 = 82 = 1/x3 = 64
x3 = (1/4)3; x = 1/4