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Simplify: log6 + log2 - log12


Question

Simplify: log6 + log2 - log12

Options

A) -4

B) -1

C) 0

D) 1

The correct answer is D.

Explanation:

\(\log 6 + \log 2 - \log 12\)
\(= \log \cfrac{6 \times 2}{12} = \log \cfrac{12}{12} = \log 1 = 0\)
Note: The logarithm of 1 to any base is zero.

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