Find the exact value of the logarithm without using a calculator, if possible.
$$\ln \frac { 1 } { \sqrt [ 2 ] { e } }$$
A) $- 2$
B) 2
C) $- \frac { 1 } { 2 }$
D) $\frac { 1 } { 2 }$
E) not possible without using a calculator

Question

Quizplus · Accepted Answer

The logarithm can be simplified as $\ln \frac { 1 } { \sqrt [ 2 ] { e } } = \ln (e^{-\frac{1}{2}})$. By the properties of logarithms, this simplifies to $-\frac{1}{2}$.

Find the Exact Value of the Logarithm Without Using a Calculator