Precalculus Examples

$e^{2 \ln (6) - \ln (2)}$

Step 1

Simplify each term.

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Step 1.1

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

$e^{2 \ln (2 (3)) - \ln (2)}$

Step 1.2

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

$e^{2 (\ln (2) + \ln (3)) - \ln (2)}$

Step 1.3

Apply the distributive property.

$e^{2 \ln (2) + 2 \ln (3) - \ln (2)}$

$e^{2 \ln (2) + 2 \ln (3) - \ln (2)}$

Step 2

Subtract $\ln (2)$ from $2 \ln (2)$ .

$e^{2 \ln (3) + \ln (2)}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$e^{2 \ln (3) + \ln (2)}$

Decimal Form:

$18$

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