Use the properties of logarithms to rewrite and simplify the logarithmic expression. $\ln \left( \frac { 2 } { e ^ { 3 } } \right)$
A)ln 2
B)ln 5
C)ln 2 - 3
D)ln 3 - 2
E)ln 3

Question

Use the properties of logarithms to rewrite and simplify the logarithmic expression.  $\ln \left( \frac { 2 } { e ^ { 3 } } \right)$ 
A)ln 2
B)ln 5
C)ln 2 - 3
D)ln 3 - 2
E)ln 3

Quizplus · Accepted Answer

The expression can be simplified using the properties of logarithms: $\ln \left( \frac { 2 } { e ^ { 3 } } \right) = \ln(2) - \ln(e^3) = \ln(2) - 3$, since $\ln(e^x) = x$.

Use the Properties of Logarithms to Rewrite and Simplify the Logarithmic