Question

write the log4 11/x as the difference between two logarithms

Answer 1

So it is \(\large\color{black}{ \displaystyle \log_4{\left(\frac{11}{x}\right)} }\) right?

Answer 2

there is a rule in a case when you divide inside the log.

\(\Large\color{black}{ \displaystyle \log_w{(A\div B)}=\log_w(A)-\log_w(B) }\)

Answer 3

in your case the base is 4 (base doesn't impact this rule in any way).

your A is 11
your B is x