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Evaluate.\newlinea) log⁡3(−27) \log_{3}(-27)

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Q. Evaluate.\newlinea) log⁡3(−27) \log_{3}(-27)
  1. Identify base and number: Identify the base of the logarithm and the number inside the logarithm.\newlineThe base of the logarithm is 33, and the number inside the logarithm is −27-27.
  2. Recognize undefined result: Recognize that the logarithm of a negative number is undefined in real numbers. The logarithm function only accepts positive numbers as its input when dealing with real numbers. Since −27-27 is negative, log⁡3(−27)\log_3(-27) is undefined.

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