Identify the vertical asymptote of $g ( t ) = - 6 + \log _ { 7 } t$.
A) t=-6
B) t=6
C) t=7
D) t=-7
E)y -axis

Name: Identify the vertical asymptote of $g ( t ) = - 6 + \log _ { 7 } t$. A) t=-6 B) t=6 C) t=7 D) t=-7 E)y -axis
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Question

Identify the vertical asymptote of $g ( t ) = - 6 + \log _ { 7 } t$.
A)  t=-6
B)  t=6
C)  t=7
D)  t=-7
E)y -axis

Quizplus · Accepted Answer

The vertical asymptote of a logarithmic function $ \log_b(x) $ occurs where the argument of the logarithm equals zero, since the logarithm is undefined at zero. For $g(t) = -6 + \log_7(t)$, this happens when $t = 0$, which corresponds to the y-axis, not a specific value of $t$.

Identify the Vertical Asymptote Of g(t)=−6+log⁡7tg ( t ) = - 6 + \log _ { 7 } tg(t)=−6+log7​t

Identify the Vertical Asymptote Of $g ( t ) = - 6 + \log _ { 7 } t$