Question 864545
Build it yourself. 
{{{f(x)=log((x-1/2))}}} has a domain of {{{x>1/2}}}
Now divide by a denominator that goes to zero when {{{x=3}}} and {{{x=5}}} and you're done.
{{{g(x)=log((x-1/2))/((x-3)(x-5))}}}