Precalculus Examples

$4 \log_{b} (q) - \log_{b} (r)$

Step 1

Simplify $4 \log_{b} (q)$ by moving $4$ inside the logarithm.

$\log_{b} (q^{4}) - \log_{b} (r)$

Step 2

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

$\log_{b} (\frac{q^{4}}{r})$