Write as a Single Logarithm 2 natural log of 8-3 natural log of 4

$2 \ln (8) - 3 \ln (4)$

Simplify each term.

Simplify $2 \ln (8)$ by moving $2$ inside the logarithm.

$\ln (8^{2}) - 3 \ln (4)$

Raise $8$ to the power of $2$ .

$\ln (64) - 3 \ln (4)$

Simplify $- 3 \ln (4)$ by moving $3$ inside the logarithm.

$\ln (64) - \ln (4^{3})$

Raise $4$ to the power of $3$ .

$\ln (64) - \ln (64)$

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

$\ln (\frac{64}{64})$

Divide $64$ by $64$ .

$\ln (1)$

The natural logarithm of $1$ is $0$ .

$0$