Express as a difference of logarithms.
-$\log _ { 4 } \frac { 9 } { 11 }$
A) $\log _ { 4 } 9 \div \log _ { 4 } 11$
B) $\log _ { 4 } 9 - \log _ { 4 } 11$
C) $\log _ { 4 } 11 - \log _ { 4 } 9$
D) $\log _ { 2 } 9 - \log _ { 2 } 11$

Question

Quizplus · Accepted Answer

The logarithm of a quotient is equal to the difference of the logarithms of the numerator and the denominator, hence $\log _ { 4 } \frac { 9 } { 11 } = \log _ { 4 } 9 - \log _ { 4 } 11$.

Express as a Difference of Logarithms log⁡4911\log _ { 4 } \frac { 9 } { 11 }log4​119​

Express as a Difference of Logarithms $\log _ { 4 } \frac { 9 } { 11 }$