Algebra Examples

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

Step 1

Rewrite $\log_{3} (9 x^{3})$ as $\log_{3} (9) + \log_{3} (x^{3})$ .

$\log_{3} (9) + \log_{3} (x^{3})$

Step 2

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

$\log_{3} (9) + 3 \log_{3} (x)$

Step 3

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

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