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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.

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