Trigonometry Examples

$4 \log_{3} (x) - 20 \log_{3} (y)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Simplify $4 \log_{3} (x)$ by moving $4$ inside the logarithm.

$\log_{3} (x^{4}) - 20 \log_{3} (y)$

Step 1.2

Simplify $- 20 \log_{3} (y)$ by moving $20$ inside the logarithm.

$\log_{3} (x^{4}) - \log_{3} (y^{20})$

Step 2

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

$\log_{3} (\frac{x^{4}}{y^{20}})$