Expand the Logarithmic Expression natural log of (2e)/x

$\ln (\frac{2 e}{x})$

Rewrite $\ln (\frac{2 e}{x})$ as $\ln (2 e) - \ln (x)$ .

$\ln (2 e) - \ln (x)$

Rewrite $\ln (2 e)$ as $\ln (2) + \ln (e)$ .

$\ln (2) + \ln (e) - \ln (x)$

The natural logarithm of $e$ is $1$ .

$\ln (2) + 1 - \ln (x)$