Precalculus Examples

$3 \ln (8) + 2 \ln (z - 2)$

Step 1

Simplify each term.

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Simplify $3 \ln (8)$ by moving $3$ inside the logarithm.

$\ln (8^{3}) + 2 \ln (z - 2)$

Raise $8$ to the power of $3$ .

$\ln (512) + 2 \ln (z - 2)$

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

$\ln (512) + \ln ({(z - 2)}^{2})$

Step 2

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

$\ln (512 {(z - 2)}^{2})$