Express (log frac{1}{8} + log frac{1}{2}) in terms of (log 2).

Express (log frac{1}{8} + log frac{1}{2}) in terms of (log 2).

  • A.
    3 log 2
  • B.
    4 log 2
  • C.
    -3 log 2
  • D.
    -4 log 2
Correct Answer: Option D
Explanation

(log frac{1}{8} + log frac{1}{2} = log 8^{-1} + log 2^{-1})

= (log 2^{-3} + log 2^{-1})

= (-3 log 2 – 1 log 2 = -4 log 2)

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