Precalculus Examples

$21 \log_{m} (x + 4) (\log_{m} (y) - 3 \log_{m} (z))$

Step 1

Simplify $21 \log_{m} (x + 4)$ by moving $21$ inside the logarithm.

$\log_{m} ({(x + 4)}^{21}) (\log_{m} (y) - 3 \log_{m} (z))$

Step 2

Simplify $- 3 \log_{m} (z)$ by moving $3$ inside the logarithm.

$\log_{m} ({(x + 4)}^{21}) (\log_{m} (y) - \log_{m} (z^{3}))$

Step 3

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

$\log_{m} ({(x + 4)}^{21}) \log_{m} (\frac{y}{z^{3}})$