How do you solve 2 ln x = 1?

Dec 10, 2015

$x = \sqrt{e}$

Explanation:

Using the property that

${e}^{\ln} \left(x\right) = x$

we have

$2 \ln \left(x\right) = 1$

$\implies \ln \left(x\right) = \frac{1}{2}$

$\implies {e}^{\ln} \left(x\right) = {e}^{\frac{1}{2}}$

$\implies x = {e}^{\frac{1}{2}} = \sqrt{e}$