Precalculus Examples

$\log (6) \cdot 45$

Step 1

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

$\log (2 (3)) \cdot 45$

Step 2

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

$(\log (2) + \log (3)) \cdot 45$

Step 3

Apply the distributive property.

$\log (2) \cdot 45 + \log (3) \cdot 45$

Step 4

Move $45$ to the left of $\log (2)$ .

$45 \cdot \log (2) + \log (3) \cdot 45$

Step 5

Move $45$ to the left of $\log (3)$ .

$45 \cdot \log (2) + 45 \cdot \log (3)$

Step 6

Multiply $45$ by $\log (3)$ .

$45 \log (2) + 45 \log (3)$

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