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
= log10\(\frac{100}{8}\) = log10 100 - log108
= log10 102 - log102
= 2log10 10 - 3log102
= 2 - 3x
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