Precalculus Examples

$\ln (z - 3) + 2 \ln (z + 3)$

Step 1

Simplify $2 \ln (z + 3)$ by moving $2$ inside the logarithm.

$\ln (z - 3) + \ln ({(z + 3)}^{2})$

Step 2

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\ln ((z - 3) {(z + 3)}^{2})$

Step 3

Apply the distributive property.

$\ln (z {(z + 3)}^{2} - 3 {(z + 3)}^{2})$