Precalculus Examples

$2 (\log (z) - \log (3))$

Step 1

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

$2 \log (\frac{z}{3})$

Step 2

Simplify $2 \log (\frac{z}{3})$ by moving $2$ inside the logarithm.

$\log ({(\frac{z}{3})}^{2})$

Step 3

Apply the product rule to $\frac{z}{3}$ .

$\log (\frac{z^{2}}{3^{2}})$

Step 4

Raise $3$ to the power of $2$ .

$\log (\frac{z^{2}}{9})$