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Logarithm of a product is the

  • A.product of logarithms
  • B.difference of logarithms
  • C.logarithm of number itself
  • D.sum of logarithm

Answer: D

\[ \log(ab) = \log a + \log b \]

The logarithm of a product is the sum of the logarithms. The companion rules are

\[ \log\left(\frac{a}{b}\right) = \log a - \log b, \qquad \log(a^{n}) = n\log a \]

Turning multiplication into addition is exactly what made logarithms a calculating tool.

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