Hello!
There is an existing logarithmic property that states that [tex]log \frac{M}{N} [/tex] is equal to [tex]log M-logN[/tex].
Following that property, we can tell that [tex]log \frac{ \frac{1}{9} }{k} [/tex] would be equal to [tex]log \frac{1}{9}-logk [/tex].
ANSWER: [tex]log \frac{1}{9}-logk [/tex] (first option)