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What is the value of log_(4)1 ? Answer:

What is the value of log⁡41 \log _{4} 1 ?\newlineAnswer:

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Full solution

Q. What is the value of log⁡41 \log _{4} 1 ?\newlineAnswer:
  1. Identify Property of Logarithms: Identify the property of logarithms that applies to log⁡4(1)\log_{4}(1). The logarithm of 11 to any base is always 00 because any number raised to the power of 00 is 11.
  2. Apply Property to Find Value: Apply the property to find the value of log⁡41\log_{4}1.log⁡41=0\log_{4}1 = 0 because 40=14^{0} = 1.

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