Express as the logarithm of a single expression. Assume that variables represent positive numbers.
-$\log _ { 6 } 11 - \log _ { 6 } x$
A) $\log _ { 6 } ( 11 - \mathrm { x } )$
B) $\log _ { 6 } \frac { x } { 11 }$
C) $\log _ { 6 } \frac { 11 } { x }$
D) $\log _ { 12 } \frac { 11 } { x }$

Question

Quizplus · Accepted Answer

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

Express as the Logarithm of a Single Expression log⁡611−log⁡6x\log _ { 6 } 11 - \log _ { 6 } xlog6​11−log6​x

Express as the Logarithm of a Single Expression $\log _ { 6 } 11 - \log _ { 6 } x$