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log_(9)9=

log99= \log _{9} 9=

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Q. log99= \log _{9} 9=
  1. Definition of logarithm: Understand the definition of a logarithm.\newlineThe logarithm logbx\log_{b} x base bb of a number xx is the exponent by which bb must be raised to yield xx. In this case, we want to find the exponent that 99 must be raised to in order to get 99.
  2. Applying the definition: Apply the definition of a logarithm to the problem.\newlineSince we are looking for log99\log_{9} 9, we are essentially asking "99 raised to what power equals 99?" The answer to this is 11, because 91=99^1 = 9.
  3. Checking for errors: Check for any mathematical errors.\newlineThere are no mathematical errors in the previous step. The calculation is straightforward and follows the basic property of logarithms.