If log102 = x, express log1012.5 in terms of x
A
2(1 + x)
B
2 + 3x
C
2(1 - x)
D
2 - 3x
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #9240)