ANSWER
[tex]log_{4}( \frac{11}{x} ) = log_{4}( 11 ) - log_{4}( x)[/tex]
EXPLANATION
The given logarithmic expression is
[tex] log_{4}( \frac{11}{x} ) [/tex]
Recall the quotient law of logarithms:
[tex]log_{a}( \frac{m}{n} ) = log_{a}( m ) - log_{a}( n) [/tex]
We apply this property to obtain;
[tex]log_{4}( \frac{11}{x} ) = log_{4}( 11 ) - log_{4}( x) [/tex]
You now fill in the blank with 11 on the right hand side.
