Thanks
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I rewrite f(x) as follows, using properties of logarithms
f(x)= -3ln((x^2-49)/(x+7))
f(x)= -3ln((x+7)(x-7)/(x+7))
f(x)= -3ln(x+7)
The domain of f is
Dom{f(x)}=(7, oo) or Dom{f(x)}={x|x>7}
Finally f has a vertical asymptote at x=7
f(x)= -3ln((x^2-49)/(x+7))
f(x)= -3ln((x+7)(x-7)/(x+7))
f(x)= -3ln(x+7)
The domain of f is
Dom{f(x)}=(7, oo) or Dom{f(x)}={x|x>7}
Finally f has a vertical asymptote at x=7