Question

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

Answer 1

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`