Precalculus Examples

$\log (z) + \log (z - 2)$

Step 1

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log (z (z - 2))$

Step 2

Apply the distributive property.

$\log (z \cdot z + z \cdot - 2)$

Step 3

Simplify the expression.

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Step 3.1

Multiply $z$ by $z$ .

$\log (z^{2} + z \cdot - 2)$

Step 3.2

Move $- 2$ to the left of $z$ .

$\log (z^{2} - 2 z)$