Algebra Examples

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

Step 1

Simplify each term.

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

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

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

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

Step 2

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

$\ln (x^{4} y^{3})$