Precalculus Examples

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

Step 1

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

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

Step 2

Raise $6$ to the power of $3$ .

$\log_{3} (216 \cdot 9^{6})$

Step 3

Raise $9$ to the power of $6$ .

$\log_{3} (216 \cdot 531441)$

Step 4

Multiply $216$ by $531441$ .

$\log_{3} (114791256)$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\log_{3} (114791256)$

Decimal Form:

$16.89278926 \dots$