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What is the domain of this logarithmic function? y=log⁡2(x−6)−8\newline y=\log_2(x-6)-8\newlineExpress the domain in inequality notation.

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Full solution

Q. What is the domain of this logarithmic function? y=log⁡2(x−6)−8\newline y=\log_2(x-6)-8\newlineExpress the domain in inequality notation.
  1. Identify argument of logarithm: First, identify the argument of the logarithm: x−6x-6.
  2. Ensure argument is greater: The argument of the logarithm must be greater than 00: x-6>0.
  3. Solve for x: Solve for x x : x > 6 .
  4. Determine domain of function: The domain of the function is all xx values greater than 66.

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