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If log102 x express log10 12 5 in terms of x - JAMB Mathematics 2007 Question

If log102 = x, express log10 12.5 in terms of x
A
2(1 - x)
B
2(1 + x)
C
2 - 3x
D
2 + 3x
correct option: c

log10 12.5 = log10(\frac{25}{2})

= log10(\frac{100}{8}) = log10 100 - log108

= log10 102 - log102

= 2log10 10 - 3log102

= 2 - 3x

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