Precalculus Examples

$(\log (x)) (3 x - 1)$

Step 1

Apply the distributive property.

$\log (x) (3 x) + \log (x) \cdot - 1$

Step 2

Rewrite using the commutative property of multiplication.

$3 \log (x) x + \log (x) \cdot - 1$

Step 3

Move $- 1$ to the left of $\log (x)$ .

$3 \log (x) x - 1 \cdot \log (x)$

Step 4

Rewrite $- 1 \log (x)$ as $- \log (x)$ .

$3 \log (x) x - \log (x)$

Step 5

Reorder factors in $3 \log (x) x - \log (x)$ .

$3 x \log (x) - \log (x)$