Question

What is the equation of the vertical asymptote of F(x)=2log_5(x+1)-3?

X=?

Answer 1

`x=-1`

Explanation:

Consider the parent function

`y=\log _5x`

This function is defined for all
`x>0,` so vertical line with equation
`x=0` is its vertical asymptote.

Function
`F(x)=2\log_5(x+1)-3` can be obtained from parent function by translation 1 unit to the left and 3 units down. This translation transletes the vertical asymptote
`x=0` of the parent function into the vertical asymptote
`x=-1` of function
`F(x).`