Precalculus Examples

$\log (x + 3) - 4 \log (x)$

Step 1

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

$\log (x + 3) - \log (x^{4})$

Step 2

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

$\log (\frac{x + 3}{x^{4}})$