Simplify log base 3 of 8^3*9^8

$\log_{3} (8^{3} \cdot 9^{8})$

Step 1

Raise $8$ to the power of $3$ .

$\log_{3} (512 \cdot 9^{8})$

Step 2

Raise $9$ to the power of $8$ .

$\log_{3} (512 \cdot 43046721)$

Step 3

Multiply $512$ by $43046721$ .

$\log_{3} (22039921152)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log_{3} (22039921152)$

Decimal Form:

$21.67836778 \dots$

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