Algebra Examples

$\log_{3} (6 x y)$

Step 1

Rewrite $\log_{3} (6 x y)$ as $\log_{3} (6 x) + \log_{3} (y)$ .

$\log_{3} (6 x) + \log_{3} (y)$

Step 2

Rewrite $\log_{3} (6 x)$ as $\log_{3} (6) + \log_{3} (x)$ .

$\log_{3} (6) + \log_{3} (x) + \log_{3} (y)$

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Rewrite $\log_{3} (6)$ as $\log_{3} (2 (3))$ .

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

Step 3.2

Rewrite $\log_{3} (2 (3))$ as $\log_{3} (2) + \log_{3} (3)$ .

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

Step 3.3

Logarithm base $3$ of $3$ is $1$ .

$\log_{3} (2) + 1 + \log_{3} (x) + \log_{3} (y)$