Expand the Logarithmic Expression natural log of 16x^2

$\ln (16 x^{2})$

Rewrite $\ln (16 x^{2})$ as $\ln (16) + \ln (x^{2})$ .

$\ln (16) + \ln (x^{2})$

Expand $\ln (x^{2})$ by moving $2$ outside the logarithm.

$\ln (16) + 2 \ln (x)$

Simplify each term.

Rewrite $\ln (16)$ as $\ln (2^{4})$ .

$\ln (2^{4}) + 2 \ln (x)$

Expand $\ln (2^{4})$ by moving $4$ outside the logarithm.

$4 \ln (2) + 2 \ln (x)$