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What is the domain of this logarithmic function?y=log⁡8(x−5)+3\newline y=\log_8(x-5)+3\newlineExpress the domain in inequality notation.

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Full solution

Q. What is the domain of this logarithmic function?y=log⁡8(x−5)+3\newline y=\log_8(x-5)+3\newlineExpress the domain in inequality notation.
  1. Identify argument: Identify the argument of the logarithm: x−5 x - 5 .
  2. Set condition: Set the argument greater than zero: x - 5 > 0 .
  3. Solve for x: Solve for x x : x > 5 .
  4. Write in interval: Write the domain in interval notation: (5,∞) (5, \infty) .

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