What equation bwould represent the vertical asymptote f(x)=a-log(x+c)
So, the equation representing the vertical asymptote of the function f(x)=a-log(x+c) is \(\boxed{x = -c}\).
Step 1 :The vertical asymptote of a logarithmic function is the value of x that makes the argument of the logarithm equal to zero.
Step 2 :In this case, the argument of the logarithm is (x+c).
Step 3 :Therefore, the vertical asymptote is the solution to the equation x+c=0.
Step 4 :So, the equation representing the vertical asymptote of the function f(x)=a-log(x+c) is \(\boxed{x = -c}\).