Trigonometry Examples

$\log_{3} (\frac{9}{x^{2}})$

Step 1

Rewrite $\log_{3} (\frac{9}{x^{2}})$ as $\log_{3} (9) - \log_{3} (x^{2})$ .

$\log_{3} (9) - \log_{3} (x^{2})$

Step 2

Expand $\log_{3} (x^{2})$ by moving $2$ outside the logarithm.

$\log_{3} (9) - (2 \log_{3} (x))$

Step 3

Logarithm base $3$ of $9$ is $2$ .

$2 - (2 \log_{3} (x))$

Step 4

Multiply $2$ by $- 1$ .

$2 - 2 \log_{3} (x)$