Question

find the equation of the vertical asymptote $f(x)=\log(x - 4)$

Explanation:

Step1: Recall the domain of the logarithmic function

The domain of \(y = \log(u)\) is \(u>0\). For the function \(f(x)=\log(x - 4)\), we set \(u=x - 4\). So, \(x-4>0\).

Step2: Solve the inequality for \(x\)

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As \(x\) approaches \(4\) from the right (\(x
ightarrow4^{+}\)), the function \(y = \log(x - 4)\) approaches \(-\infty\).

Answer:

\(x = 4\)