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

Question

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

Olateju Shoniregun · Accepted Answer

Final Answer : E, Explanation :   The vertical asymptote of a logarithmic function   log ⁡ b ( x )  \log_b(x)  lo g 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 ) g(t) = -6 + \log_7(t) g ( t ) = − 6 + lo g 7 ​ ( t )  , this happens when   t = 0 t = 0 t = 0  , which corresponds to the y-axis, not a specific value of   t t t  .

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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Related questions

Identify the vertical asymptote of g(t) =−6+log⁡7tg ( t ) = - 6 + \log _ { 7 } tg(t) =−6+log7​t .A) t=-6B) t=6C) t=7D) t=-7E) y -axis

Definitions

Learning Objectives

Learning Objectives

Related questions

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