Precalculus Examples

$5 \log_{3} (u) + 30 \log_{3} (v)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Simplify $5 \log_{3} (u)$ by moving $5$ inside the logarithm.

$\log_{3} (u^{5}) + 30 \log_{3} (v)$

Step 1.2

Simplify $30 \log_{3} (v)$ by moving $30$ inside the logarithm.

$\log_{3} (u^{5}) + \log_{3} (v^{30})$

Step 2

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

$\log_{3} (u^{5} v^{30})$