translate it
remember that [tex]log_a(b)=c[/tex] translates to [tex]a^c=b[/tex]
so we can say it equals y
so
[tex]log_3(x-4)=y[/tex] translates to [tex]3^y=x-4[/tex]
we want to find the values of x that make it undefined
well, we know that [tex]3^y[/tex] must be greater than 0
so we do
it is defined for
x-4>0
add 4
x>4
it is defined for all values such that x>4