Precalculus Examples

$\ln (x^{6} - 4) \ln (4 \sqrt{x^{5}})$

Step 1

Rewrite $x^{5}$ as ${(x^{2})}^{2} x$ .

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Step 1.1

Factor out $x^{4}$ .

$\ln (x^{6} - 4) \ln (4 \sqrt{x^{4} x})$

Step 1.2

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

$\ln (x^{6} - 4) \ln (4 \sqrt{{(x^{2})}^{2} x})$

$\ln (x^{6} - 4) \ln (4 \sqrt{{(x^{2})}^{2} x})$

Step 2

Pull terms out from under the radical.

$\ln (x^{6} - 4) \ln (4 x^{2} \sqrt{x})$

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