Problem

Question 6

Find the equation of the vertical asymptote $f(x)=\log (x+2)$
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Final Answer: The equation of the vertical asymptote is \(\boxed{x = -2}\).

Steps

Step 1 ：The vertical asymptote of a logarithmic function \(f(x) = \log_b(x - h)\) is the vertical line \(x = h\). This is because the logarithm function is undefined for \(x = h\).

Step 2 ：In this case, the function is \(f(x) = \log(x + 2)\), so the vertical asymptote should be the line \(x = -2\).

Step 3 ：Final Answer: The equation of the vertical asymptote is \(\boxed{x = -2}\).

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