For y = log(x – 3) find the domain, determine the vertical asymptote and the graph.

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The value of a real number greater than 0 only is defined. This gives x - 3 > 0 or x > 3.

The domain of y = log (x - 3) is (3, inf.)

The range of y = log (x - 3) is R.

The graph of y = log (x - 3) is provided below.

The vertical asymptote lies at x = 3.

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