Algebra Examples

$3 \ln (6) + 4 \ln (x)$

Step 1

Simplify each term.

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Step 1.1

Simplify $3 \ln (6)$ by moving $3$ inside the logarithm.

$\ln (6^{3}) + 4 \ln (x)$

Step 1.2

Raise $6$ to the power of $3$ .

$\ln (216) + 4 \ln (x)$

Step 1.3

Simplify $4 \ln (x)$ by moving $4$ inside the logarithm.

$\ln (216) + \ln (x^{4})$

Step 2

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

$\ln (216 x^{4})$