Consider the function

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

y(x)=\ln|x-3|+C

, where

C

is chosen so that the graph passes through the point

(4,0)

. Identify the

x

-value(s) that must be excluded from the domain of this particular solution and briefly state the reason for each exclusion.