Simplify/Condense 1/2* natural log of x- natural log of y

$\frac{1}{2} \cdot \ln (x) - \ln (y)$

Step 1

Simplify $\frac{1}{2} \ln (x)$ by moving $\frac{1}{2}$ inside the logarithm.

$\ln (x^{\frac{1}{2}}) - \ln (y)$

Step 2

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\ln (\frac{x^{\frac{1}{2}}}{y})$