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log_(4)4=

log⁡44= \log _{4} 4=

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Q. log⁡44= \log _{4} 4=
  1. Identify base, argument, and result: Identify the base (), the argument (), and the result () of the logarithm.\newlineIn the logarithmic equation (), we have:\newline =  (base of the logarithm)\newline =  (argument of the logarithm)\newlineSince () is the power to which the base  must be raised to produce , we know that  =  because ^ = .
  2. Convert to exponential form: Convert the logarithmic equation to exponential form.\newlineUsing the definition of a logarithm, we can convert log⁡44\log_{4}4 into its exponential form. The logarithmic equation log⁡bx=y\log_{b}x = y can be rewritten as by=xb^{y} = x.\newlineSubstitute b=4b = 4, x=4x = 4, and y=1y = 1 into the equation to get 41=44^{1} = 4.
  3. Check the result: Check the result to ensure it is correct.\newlineSince 41=44^1 = 4 is true, we have correctly converted the logarithmic equation to exponential form.

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