Precalculus Examples

$2 \log_{4} (8) - \log_{4} (3)$

Step 1

Logarithm base $4$ of $8$ is $\frac{3}{2}$ .

$2 (\frac{3}{2}) - \log_{4} (3)$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

$2 (\frac{3}{2}) - \log_{4} (3)$

Step 2.2

Rewrite the expression.

$3 - \log_{4} (3)$

$3 - \log_{4} (3)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 - \log_{4} (3)$

Decimal Form:

$2.20751874 \dots$

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