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If loga270 - loga10 loga frac 1 3 2 what is the... - WAEC Mathematics 2006 Question

If loga270 - loga10 + loga \(\frac{1}{3}\) = 2, what is the value of a?
A
3
B
4
C
5
D
6
correct option: a
loga270 - loga10 + loga\(\frac{1}{3}\) = 2

loga270 + loga\(\frac{1}{3}\) - loga10 = 2

loga(270\(\frac{\frac{1}{3}}{10}\)) = 2

loga9 = 2

aa = 9

a = \(\sqrt{9}\) = 3
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