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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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