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If log102 x express log1012 5 in terms of x - JAMB Mathematics 2007 Question

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 option: d

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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