How to find the vertical asymptote of a logarithmic function?

Gordon Young

Gordon Young

Answered question

2023-02-25

How to find the vertical asymptote of a logarithmic function?

Answer & Explanation

Roy Mcclain

Roy Mcclain

Beginner2023-02-26Added 9 answers

f ( x ) = log b ( argument ) has vertical aymptotes at argument = 0
Example f ( x ) = ln ( x 2 - 3 x - 4 ) . has asymptotes in the vertical
x = 4 and x = - 1
graph{y=ln(x^2-3x-4) [-5.18, 8.87, -4.09, 2.934]}
Example f ( x ) = ln ( 1 x ) has vertical asymptote
x = 0
graph{ln(1/x) [-5.18, 8.87, -4.09, 2.934]}
Example f ( x ) = ln ( 1 x 2 ) alsohas vertical asymptote
x = 0
graph{ln(1/x^2) [-5.18, 8.87, -4.09, 2.934]}

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