Trigonometry Examples

$\log (5) - \log (x) - \log (y)$

Step 1

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

$\log (\frac{5}{x}) - \log (y)$

Step 2

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

$\log (\frac{\frac{5}{x}}{y})$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\log (\frac{5}{x} \cdot \frac{1}{y})$

Step 4

Multiply $\frac{5}{x}$ by $\frac{1}{y}$ .

$\log (\frac{5}{x y})$