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Find the equation of the vertical asymptote

Ask by Gough Cox. in the United States
Nov 02,2024

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The vertical asymptote is .

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Beyond the Answer

To find the vertical asymptote of the function , we need to determine where the argument of the logarithm becomes zero since a logarithm is undefined for non-positive values. Setting the argument equal to zero, we have . Solving for , we find . Therefore, the vertical asymptote of the function occurs at .
Additionally, as approaches -4 from the right (values greater than -4), will tend toward . Thus, we can summarize that the vertical asymptote of the logarithmic function is at , and the function is defined for .

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