Precalculus Examples

$\log_{2} (32) - 2 \log_{2} (2)$

Step 1

Simplify each term.

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Step 1.1

Logarithm base $2$ of $32$ is $5$ .

$5 - 2 \log_{2} (2)$

Step 1.2

Logarithm base $2$ of $2$ is $1$ .

$5 - 2 \cdot 1$

Step 1.3

Multiply $- 2$ by $1$ .

$5 - 2$

$5 - 2$

Step 2

Subtract $2$ from $5$ .

$3$

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