Evaluate the logarithm.
-$$\ln \frac { 1 } { \sqrt { \mathrm { e } ^ { 11 } } }$$
A) $- 22$
B) $- \frac { 11 } { 2 }$
C) $- 11$
D) $\frac { 11 } { 2 }$

Question

Quizplus · Accepted Answer

The expression can be simplified as $\ln(e^{-\frac{11}{2}})$ because $\frac{1}{\sqrt{e^{11}}} = e^{-\frac{11}{2}}$. The property of logarithms $\ln(e^x) = x$ directly gives the answer as $-\frac{11}{2}$.

Evaluate the Logarithm ln⁡1e11\ln \frac { 1 } { \sqrt { \mathrm { e } ^ { 11 } } }lne11​1​

Evaluate the Logarithm $\ln \frac { 1 } { \sqrt { \mathrm { e } ^ { 11 } } }$