Use the properties of logarithms to write the expression as a single logarithm. $\ln ( 2 x ) - \ln ( 4 y )$
A) $\ln \left( \frac { 2 x } { 4 y } \right)$
B) $\ln ( 4 y - 2 x )$
C) $\ln ( 2 x - 4 y )$
D) $\frac { \ln ( 2 x ) } { \ln ( 4 y ) }$
E) $\ln \left( \frac { 2 y } { 4 x } \right)$

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 $\ln(2x) - \ln(4y) = \ln\left(\frac{2x}{4y}\right)$.

Use the Properties of Logarithms to Write the Expression as a Single