Simplify \(\frac{1}{3}\) log8 + \(\frac{1}{3}\) log 64 - 2 log6

FURTHER MATHEMATICS
WAEC 2021

Simplify \(\frac{1}{3}\) log8 + \(\frac{1}{3}\) log 64 - 2 log6

  • A. log \(\frac{2}{7}\)
  • B. log 2
  • C. log \(\frac{2}{9}\)
  • D. log 9

Correct Answer: C. log \(\frac{2}{9}\)

Explanation

\(\frac{1}{3}\) log8 + \(\frac{1}{3}\) log 64 - 2 log6

= log 2 + log 4 - log 36

= log \(\frac{8}{36}\)

= log \(\frac{2}{9}\)



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