2007
Mathematics
67ca00ce0c643c71d77dee1f
If log10 2 = x, express log1012.5 in terms of x
A.
2(1 + x)
B.
2 + 3x
C.
2(1 - x)
D.
2 - 3x
Correct Answer: 2 - 3x
Explanation
log1012.5 = log1012(1/2) = log1025/2 = log1025 - log102 = log105log10 - log102 = 2log105 - log102 = 2log1010/2 - log102 = 2(1-x)- x = 2 - 2x – x = 2 – 3x
log1012.5 = log1012(1/2) = log1025/2 = log1025 - log102 = log105log10 - log102 = 2log105 - log102 = 2log1010/2 - log102 = 2(1-x)- x = 2 - 2x – x = 2 – 3xTHIS WEEK's
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