Mathematics

If log102 = x, express log1012.5 in terms of x

If log102 = x, express log1012.5 in terms of x
  • A.
    2(1 + x)
  • B.
    2 + 3x
  • C.
    2(1 – x)
  • D.
    2 – 3x
Correct Answer: Option D
Explanation

log1012.5 = log10 121/2
= log1025/2
= log1025 – log102
= log1052 – log102
= 2log105 – log102
= 2log1010/2 – log102
= 2(1-x)- x
= 2 – 2x – x
= 2 – 3x