Precalculus Examples

$\log_{5} (x (x - 1))$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$\log_{5} (x \cdot x + x \cdot - 1)$

Step 1.2

Simplify the expression.

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Step 1.2.1

Multiply $x$ by $x$ .

$\log_{5} (x^{2} + x \cdot - 1)$

Step 1.2.2

Move $- 1$ to the left of $x$ .

$\log_{5} (x^{2} - 1 \cdot x)$

$\log_{5} (x^{2} - 1 \cdot x)$

$\log_{5} (x^{2} - 1 \cdot x)$

Step 2

Rewrite $- 1 x$ as $- x$ .

$\log_{5} (x^{2} - x)$

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