Question

Write the log4 11/x as the difference between two logarithms.

Answer 1

ANSWER

$log_{4}( \frac{11}{x} ) = log_{4}( 11 ) - log_{4}( x)$

EXPLANATION

The given logarithmic expression is

$log_{4}( \frac{11}{x} )$

Recall the quotient law of logarithms:

$log_{a}( \frac{m}{n} ) = log_{a}( m ) - log_{a}( n)$

We apply this property to obtain;

$log_{4}( \frac{11}{x} ) = log_{4}( 11 ) - log_{4}( x)$

You now fill in the blank with 11 on the right hand side.