Write as a logarithm of a single expression.
-$\log _ { 6 } 13 - \log _ { 6 } 11$
A) $\log _ { 6 } \frac { 13 } { 11 }$
B) $\log _ { 6 } 143$
C) $\frac { \log _ { 6 } 13 } { \log _ { 6 } 11 }$
D) $\log _ { 6 } 2$

Question

Quizplus · Accepted Answer

The subtraction of two logarithms with the same base is equivalent to the logarithm of the division of their arguments, hence $\log _ { 6 } 13 - \log _ { 6 } 11 = \log _ { 6 } \frac { 13 } { 11 }$.

Write as a Logarithm of a Single Expression log⁡613−log⁡611\log _ { 6 } 13 - \log _ { 6 } 11log6​13−log6​11

Write as a Logarithm of a Single Expression $\log _ { 6 } 13 - \log _ { 6 } 11$