Question

sections 4.5 - 4.6
score: 3/15 answered: 3/15
question 4
the equation $y = \log(x - 3)$ has a vertical asymptote at:
x =

Explanation:

Step1: Recall log function domain

For \( y = \log(u) \), \( u > 0 \). Here, \( u = x - 3 \), so \( x - 3 > 0 \).

Step2: Find vertical asymptote

Vertical asymptote occurs where the function is undefined (and approaches \( \pm\infty \)). Solve \( x - 3 = 0 \), so \( x = 3 \).

Answer:

\( 3 \)