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

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

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