Expand natural log of 3/4

$\ln (\frac{3}{4})$

Rewrite $\ln (\frac{3}{4})$ as $\ln (3) - \ln (4)$ .

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

Simplify each term.

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

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

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

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

Multiply $2$ by $- 1$ .

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

Expand natural log of 3/4

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