Precalculus Examples

$\log_{c} (m) - \log_{c} (n) - \log_{c} (z)$

Step 1

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

$\log_{c} (\frac{m}{n}) - \log_{c} (z)$

Step 2

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

$\log_{c} (\frac{\frac{m}{n}}{z})$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\log_{c} (\frac{m}{n} \cdot \frac{1}{z})$

Step 4

Multiply $\frac{m}{n}$ by $\frac{1}{z}$ .

$\log_{c} (\frac{m}{n z})$