Algebra Examples

$\log_{2} (8) - \log_{2} (x) - \log_{2} (y)$

Step 1

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

$\log_{2} (\frac{8}{x}) - \log_{2} (y)$

Step 2

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

$\log_{2} (\frac{\frac{8}{x}}{y})$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\log_{2} (\frac{8}{x} \cdot \frac{1}{y})$

Step 4

Multiply $\frac{8}{x}$ by $\frac{1}{y}$ .

$\log_{2} (\frac{8}{x y})$