Precalculus Examples

$\ln (\frac{\frac{26}{19}}{0.09})$

Step 1

Rewrite $\ln (\frac{\frac{26}{19}}{0.09})$ as $\ln (\frac{26}{19}) - \ln (0.09)$ .

$\ln (\frac{26}{19}) - \ln (0.09)$

Step 2

Rewrite $\ln (\frac{26}{19})$ as $\ln (26) - \ln (19)$ .

$\ln (26) - \ln (19) - \ln (0.09)$

Step 3

Simplify each term.

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Step 3.1

Rewrite $\ln (26)$ as $\ln (2 (13))$ .

$\ln (2 (13)) - \ln (19) - \ln (0.09)$

Step 3.2

Rewrite $\ln (2 (13))$ as $\ln (2) + \ln (13)$ .

$\ln (2) + \ln (13) - \ln (19) - \ln (0.09)$