Determine the equation of the line that represents the vertical f(x)=log_(4)(x+4)+5

The given function is \( f(x) = \log_{4}(x+4) + 5 \).To find the vertical asymptote of this logarithmic function, we need to determine where the argument of the logarithm becomes zero. The argument of the logarithm is . Setting it equal to zero gives: Solving for , we get: Therefore, the equation of the vertical asymptote is .