Write as a Single Logarithm 6 natural log of 2-4 natural log of y

$6 \ln (2) - 4 \ln (y)$

Simplify each term.

Simplify $6 \ln (2)$ by moving $6$ inside the logarithm.

$\ln (2^{6}) - 4 \ln (y)$

Raise $2$ to the power of $6$ .

$\ln (64) - 4 \ln (y)$

Simplify $- 4 \ln (y)$ by moving $4$ inside the logarithm.

$\ln (64) - \ln (y^{4})$

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

$\ln (\frac{64}{y^{4}})$