Precalculus Examples

$\log (\sqrt{b^{5} c})$

Step 1

Rewrite $b^{5} c$ as ${(b^{2})}^{2} (b c)$ .

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Step 1.1

Factor out $b^{4}$ .

$\log (\sqrt{b^{4} b c})$

Step 1.2

Rewrite $b^{4}$ as ${(b^{2})}^{2}$ .

$\log (\sqrt{{(b^{2})}^{2} b c})$

Step 1.3

Add parentheses.

$\log (\sqrt{{(b^{2})}^{2} (b c)})$

$\log (\sqrt{{(b^{2})}^{2} (b c)})$

Step 2

Pull terms out from under the radical.

$\log (b^{2} \sqrt{b c})$

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