Precalculus Examples

$3 \log_{3} (27) + 9 \log_{3} (x) - 3 \log_{3} (729)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Logarithm base $3$ of $27$ is $3$ .

$3 \cdot 3 + 9 \log_{3} (x) - 3 \log_{3} (729)$

Step 1.2

Multiply $3$ by $3$ .

$9 + 9 \log_{3} (x) - 3 \log_{3} (729)$

Step 1.3

Simplify $9 \log_{3} (x)$ by moving $9$ inside the logarithm.

$9 + \log_{3} (x^{9}) - 3 \log_{3} (729)$

Step 1.4

Logarithm base $3$ of $729$ is $6$ .

$9 + \log_{3} (x^{9}) - 3 \cdot 6$

Step 1.5

Multiply $- 3$ by $6$ .

$9 + \log_{3} (x^{9}) - 18$

Step 2

Subtract $18$ from $9$ .

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