Precalculus Examples

$6 \log (6) \cdot 9$

Step 1

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

$6 \log (2 (3)) \cdot 9$

Step 2

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

$6 (\log (2) + \log (3)) \cdot 9$

Step 3

Apply the distributive property.

$(6 \log (2) + 6 \log (3)) \cdot 9$

Step 4

Apply the distributive property.

$6 \log (2) \cdot 9 + 6 \log (3) \cdot 9$

Step 5

Multiply $9$ by $6$ .

$54 \log (2) + 6 \log (3) \cdot 9$

Step 6

Multiply $9$ by $6$ .

$54 \log (2) + 54 \log (3)$

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