Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers.
-$\log _ { 2 } 13 - \log _ { 2 } m$
A) $\log _ { 2 } \left( \frac { \mathrm { m } } { 13 } \right)$
B) $\log _ { 4 } \left( \frac { 13 } { m } \right)$
C) $\log _ { 2 } \left( \frac { 13 } { m } \right)$
D) $\log _ { 2 } ( 13 - \mathrm { m } )$

Question

Quizplus · Accepted Answer

The subtraction of logarithms with the same base is equivalent to the logarithm of the division of their arguments, hence $\log _ { 2 } 13 - \log _ { 2 } m = \log _ { 2 } \left( \frac { 13 } { m } \right)$.

Write the Expression as a Single Logarithm with Coefficient 1 log⁡213−log⁡2m\log _ { 2 } 13 - \log _ { 2 } mlog2​13−log2​m

Write the Expression as a Single Logarithm with Coefficient 1 $\log _ { 2 } 13 - \log _ { 2 } m$