Precalculus Examples

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

Step 1

Simplify $2 \log_{2} (x)$ by moving $2$ inside the logarithm.

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

Step 2

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

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