Give the equation of the vertical asymptote of the function $f(x)=\log (x-7$
Give domain of the function $f(x)=\log (x-7)$
Answer
Final Answer: The equation of the vertical asymptote of the function \(f(x)=\log (x-7)\) is \(\boxed{x=7}\). The domain of the function \(f(x)=\log (x-7)\) is \(\boxed{x>7}\).
Step 1 ：The vertical asymptote of a logarithmic function \(f(x)=\log (x-a)\) is the vertical line \(x=a\). In this case, the vertical asymptote of the function \(f(x)=\log (x-7)\) is the vertical line \(x=7\).
Step 2 ：The domain of a logarithmic function \(f(x)=\log (x-a)\) is \(x>a\). So, the domain of the function \(f(x)=\log (x-7)\) is \(x>7\).
Step 3 ：Final Answer: The equation of the vertical asymptote of the function \(f(x)=\log (x-7)\) is \(\boxed{x=7}\). The domain of the function \(f(x)=\log (x-7)\) is \(\boxed{x>7}\).
