Precalculus Examples

$\log_{3} (5) (\log_{3} (81))$

Step 1

Logarithm base $3$ of $81$ is $4$ .

$\log_{3} (5) \cdot 4$

Step 2

Multiply $\log_{3} (5) \cdot 4$ .

Tap for more steps...

Step 2.1

Reorder $\log_{3} (5)$ and $4$ .

$4 \cdot \log_{3} (5)$

Step 2.2

Simplify $4 \cdot \log_{3} (5)$ by moving $4$ inside the logarithm.

$\log_{3} (5^{4})$

Step 3

Raise $5$ to the power of $4$ .

$\log_{3} (625)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log_{3} (625)$

Decimal Form:

$5.85989408 \dots$