Evaluate: $\ln \sqrt { e }$
A) $\sqrt { e }$
B) $\frac { 1 } { 2 }$
C) -$\frac { 1 } { 2 }$
D) 2

Name: Evaluate: $\ln \sqrt { e }$ A) $\sqrt { e }$ B) $\frac { 1 } { 2 }$ C) -$\frac { 1 } { 2 }$ D) 2
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Question

Quizplus · Accepted Answer

The natural logarithm of the square root of $e$ ($\ln \sqrt{e}$) can be simplified using the property of logarithms: $\ln e^{x} = x$. Since $\sqrt{e} = e^{\frac{1}{2}}$, it follows that $\ln \sqrt{e} = \ln e^{\frac{1}{2}} = \frac{1}{2}$.

Evaluate ln⁡e\ln \sqrt { e }lne​ A) e\sqrt { e }e​ B) 12\frac { 1 } { 2 }21​

Evaluate $\ln \sqrt { e }$ A) $\sqrt { e }$ B) $\frac { 1 } { 2 }$