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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