Identify the vertical asymptote of $g ( t ) = - \log _ { 5 } t$ .
A) t=5
B) $t = - \frac { 1 } { 5 }$
C) $t = \frac { 1 } { 5 }$
D) t=-5
E)y -axis

Question

Identify the vertical asymptote of $g ( t ) = - \log _ { 5 } t$ .
A) t=5
B) $t = - \frac { 1 } { 5 }$
C) $t = \frac { 1 } { 5 }$
D)  t=-5
E)y -axis

Quizplus · Accepted Answer

The vertical asymptote of the logarithmic function $g(t) = -\log_5 t$ occurs where the argument of the logarithm, $t$, is zero because the logarithm is undefined at 0. This corresponds to the y-axis, or where $t = 0$, not listed explicitly among the options A-D.

Identify the Vertical Asymptote Of g(t)=−log⁡5tg ( t ) = - \log _ { 5 } tg(t)=−log5​t

Identify the Vertical Asymptote Of $g ( t ) = - \log _ { 5 } t$