## anonymous one year ago write the log4 11/x as the difference between two logarithms

1. SolomonZelman

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

2. SolomonZelman

there is a rule in a case when you divide inside the log. $$\Large\color{black}{ \displaystyle \log_w{(A\div B)}=\log_w(A)-\log_w(B) }$$

3. SolomonZelman

in your case the base is 4 (base doesn't impact this rule in any way). your A is 11 your B is x