Algebra Examples

$7 \cdot \ln (a) - 4 \cdot \ln (b)$

Step 1

Simplify each term.

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Step 1.1

Simplify $7 \ln (a)$ by moving $7$ inside the logarithm.

$\ln (a^{7}) - 4 \cdot \ln (b)$

Step 1.2

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

$\ln (a^{7}) - \ln (b^{4})$

Step 2

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\ln (\frac{a^{7}}{b^{4}})$