Algebra Examples

$\ln (\frac{r}{6 s})$

Step 1

Rewrite $\ln (\frac{r}{6 s})$ as $\ln (r) - \ln (6 s)$ .

$\ln (r) - \ln (6 s)$

Step 2

Rewrite $\ln (6 s)$ as $\ln (6) + \ln (s)$ .

$\ln (r) - (\ln (6) + \ln (s))$

Step 3

Simplify each term.

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Step 3.1

Simplify each term.

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Step 3.1.1

Rewrite $\ln (6)$ as $\ln (2 (3))$ .

$\ln (r) - (\ln (2 (3)) + \ln (s))$

Step 3.1.2

Rewrite $\ln (2 (3))$ as $\ln (2) + \ln (3)$ .

$\ln (r) - (\ln (2) + \ln (3) + \ln (s))$

Step 3.2

Apply the distributive property.

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