Algebra Examples

$20 \log_{6} (u) + 5 \log_{6} (v)$

Step 1

Simplify each term.

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Step 1.1

Simplify $20 \log_{6} (u)$ by moving $20$ inside the logarithm.

$\log_{6} (u^{20}) + 5 \log_{6} (v)$

Step 1.2

Simplify $5 \log_{6} (v)$ by moving $5$ inside the logarithm.

$\log_{6} (u^{20}) + \log_{6} (v^{5})$

Step 2

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

$\log_{6} (u^{20} v^{5})$