Precalculus Examples

$6 \log_{6} (z - 2) - 4 \log_{6} (z + 4)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Simplify $6 \log_{6} (z - 2)$ by moving $6$ inside the logarithm.

$\log_{6} ({(z - 2)}^{6}) - 4 \log_{6} (z + 4)$

Step 1.2

Simplify $- 4 \log_{6} (z + 4)$ by moving $4$ inside the logarithm.

$\log_{6} ({(z - 2)}^{6}) - \log_{6} ({(z + 4)}^{4})$

Step 2

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

$\log_{6} (\frac{{(z - 2)}^{6}}{{(z + 4)}^{4}})$