229k views
1 vote
Write the equation of the asymptote of the following function.f(x) = -4 log2 (x - 3) + 5

Write the equation of the asymptote of the following function.f(x) = -4 log2 (x - 3) + 5-example-1

1 Answer

7 votes

The function is given to be:


f\left(x\right)=-4\log_2\left(x-3\right)+5

Logarithmic equations have no horizontal asymptotes.

For a logarithmic function above, the function will be undefined at:


\begin{gathered} x-3=0 \\ \therefore \\ x=3 \end{gathered}

This is the vertical asymptote.

ANSWER


x=3

User Max Masnick
by
4.1k points