Algebra Examples

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

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

Step 1

Rewrite

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

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

ln (r) - ln (6 s)

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

ln (r) - ln (6 s)

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

Step 2

Rewrite

ln (6 s)

$\ln (6 s)$ as

ln (6) + ln (s)

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

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

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

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Simplify each term.

Tap for more steps...

Step 3.1.1

Rewrite

ln (6)

$\ln (6)$ as

ln (2 (3))

$\ln (2 (3))$ .

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

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

Step 3.1.2

Rewrite

ln (2 (3))

$\ln (2 (3))$ as

ln (2) + ln (3)

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

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

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

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

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

Step 3.2

Apply the distributive property.

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

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

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

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

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$