Precalculus Examples

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

Step 1

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

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

Step 2

Simplify each term.

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Step 2.1

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

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

Step 2.2

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

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