Precalculus Examples

$\frac{1}{2} \cdot \log_{3} (81) + \log_{3} (15)$

Step 1

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

$\frac{1}{2} \cdot 4 + \log_{3} (15)$

Step 2

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1

Factor $2$ out of $4$ .

$\frac{1}{2} \cdot (2 (2)) + \log_{3} (15)$

Step 2.2

Cancel the common factor.

$\frac{1}{2} \cdot (2 \cdot 2) + \log_{3} (15)$

Step 2.3

Rewrite the expression.

$2 + \log_{3} (15)$

$2 + \log_{3} (15)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 + \log_{3} (15)$

Decimal Form:

$4.46497352 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$