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

Question

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

Catlyn Simmons · Accepted Answer

Final Answer : E, Explanation :   The vertical asymptote of the logarithmic function   g ( t ) = − log ⁡ 5 t g(t) = -\log_5 t g ( t ) = − lo g 5 ​ t   occurs where the argument of the logarithm,   t t t  , is zero because the logarithm is undefined at 0. This corresponds to the y-axis, or where   t = 0 t = 0 t = 0  , not listed explicitly among the options A-D.

Identify the vertical asymptote of $g ( t ) = - \log _ { 5 } t$ .

A) t=5
B) $\frac { 1 } { 5 }$
C) $\frac { 1 } { 5 }$
D) t=-5
E) y -axis

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Learning Objectives

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Identify the vertical asymptote of g(t) =−log⁡5tg ( t ) = - \log _ { 5 } tg(t) =−log5​t .A) t=5B) t=−15t = - \frac { 1 } { 5 }t=−51​ C) t=15t = \frac { 1 } { 5 }t=51​ D) t=-5E) y -axis

Definitions

Learning Objectives

Learning Objectives

Related questions

Identify the vertical asymptote of $g ( t ) = - \log _ { 5 } t$ .

A) t=5
B) $\frac { 1 } { 5 }$
C) $\frac { 1 } { 5 }$
D) t=-5
E) y -axis