Precalculus Examples

$4 \log (x + 6) - \log (x)$

Step 1

Simplify $4 \log (x + 6)$ by moving $4$ inside the logarithm.

$\log ({(x + 6)}^{4}) - \log (x)$

Step 2

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

$\log (\frac{{(x + 6)}^{4}}{x})$