Question

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

Log4 11/x=Log4_____-log4 x

Answer 1

ANSWER


`log_(4)( (11)/(x) ) = log_(4)( 11 ) - log_(4)( x)`

Step-by-step explanation

The given logarithmic expression is


`log_(4)( (11)/(x) )`

Recall the quotient law of logarithms:


`log_(a)( (m)/(n) ) = log_(a)( m ) - log_(a)( n)`

We apply this property to obtain;


`log_(4)( (11)/(x) ) = log_(4)( 11 ) - log_(4)( x)`

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