Precalculus Examples

$6 \log_{c} (w - 4) - 4 \log_{c} (w + 3)$

Step 1

Simplify each term.

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Step 1.1

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

$\log_{c} ({(w - 4)}^{6}) - 4 \log_{c} (w + 3)$

Step 1.2

Simplify $- 4 \log_{c} (w + 3)$ by moving $4$ inside the logarithm.

$\log_{c} ({(w - 4)}^{6}) - \log_{c} ({(w + 3)}^{4})$

Step 2

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

$\log_{c} (\frac{{(w - 4)}^{6}}{{(w + 3)}^{4}})$