Algebra Examples

$6 \log_{9} (u) - 2 \log_{9} (v)$

Step 1

Simplify each term.

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Step 1.1

Simplify $6 \log_{9} (u)$ by moving $6$ inside the logarithm.

$\log_{9} (u^{6}) - 2 \log_{9} (v)$

Step 1.2

Simplify $- 2 \log_{9} (v)$ by moving $2$ inside the logarithm.

$\log_{9} (u^{6}) - \log_{9} (v^{2})$

Step 2

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

$\log_{9} (\frac{u^{6}}{v^{2}})$