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log_(3)1=

log31= \log _{3} 1=

Full solution

Q. log31= \log _{3} 1=
  1. Finding the Logarithm Value: We need to find the value of log31\log_{3}1. The logarithm of a number is the exponent to which the base must be raised to produce that number. In this case, we are looking for the power to which 33 must be raised to get 11.
  2. Property of Logarithms: Recall the property of logarithms that states logb(1)=0\log_b(1) = 0 for any base bb. This is because any non-zero number raised to the power of 00 is 11.
  3. Applying the Property: Applying this property to our problem, we have log31=0\log_{3}1 = 0 because 33 raised to the power of 00 is indeed 11.