Precalculus Examples

$\log (\sqrt{r^{3} t})$

Step 1

Rewrite $r^{3} t$ as $r^{2} (r t)$ .

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Step 1.1

Factor out $r^{2}$ .

$\log (\sqrt{r^{2} r t})$

Step 1.2

Add parentheses.

$\log (\sqrt{r^{2} (r t)})$

$\log (\sqrt{r^{2} (r t)})$

Step 2

Pull terms out from under the radical.

$\log (r \sqrt{r t})$

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