Precalculus Examples

$2 \ln (a) + 5 \ln (z - 4)$

Step 1

Simplify each term.

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Step 1.1

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

$\ln (a^{2}) + 5 \ln (z - 4)$

Step 1.2

Simplify $5 \ln (z - 4)$ by moving $5$ inside the logarithm.

$\ln (a^{2}) + \ln ({(z - 4)}^{5})$

Step 2

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

$\ln (a^{2} {(z - 4)}^{5})$