Precalculus Examples

$(\ln (x) - (x + 5)) (5)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$(\ln (x) - x - 1 \cdot 5) \cdot 5$

Step 1.2

Multiply $- 1$ by $5$ .

$(\ln (x) - x - 5) \cdot 5$

Step 2

Apply the distributive property.

$\ln (x) \cdot 5 - x \cdot 5 - 5 \cdot 5$

Step 3

Simplify.

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Step 3.1

Multiply $\ln (x) \cdot 5$ .

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Step 3.1.1

Reorder $\ln (x)$ and $5$ .

$5 \cdot \ln (x) - x \cdot 5 - 5 \cdot 5$

Step 3.1.2

Simplify $5 \cdot \ln (x)$ by moving $5$ inside the logarithm.

$\ln (x^{5}) - x \cdot 5 - 5 \cdot 5$

Step 3.2

Multiply $5$ by $- 1$ .

$\ln (x^{5}) - 5 x - 5 \cdot 5$

Step 3.3

Multiply $- 5$ by $5$ .

$\ln (x^{5}) - 5 x - 25$