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The logarithm of any number to itself as base is

  • A.10
  • B.-1
  • C.1

Answer: C

By definition, \( \log_{a} x \) is the power to which \( a \) must be raised to give \( x \). Since

\[ a^{1} = a \]

it follows that

\[ \log_{a} a = 1 \]

for every valid base. The companion result is \( \log_{a} 1 = 0 \), since \( a^{0} = 1 \).

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