If log a 270 - log a 10 + log a \(\frac{1}{3}\) = 2, what
MATHEMATICS
WAEC 2006
If loga270 - loga10 + loga \(\frac{1}{3}\) = 2, what is the value of a?
- A. 3
- B. 4
- C. 5
- D. 6
Correct Answer: A. 3
Explanation
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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