Precalculus Examples

$4 \log_{2} (16) - 2 \ln (e^{3})$

Step 1

Logarithm base $2$ of $16$ is $4$ .

$4 \cdot 4 - 2 \ln (e^{3})$

Step 2

Expand $\ln (e^{3})$ by moving $3$ outside the logarithm.

$4 \cdot 4 - 2 (3 \ln (e))$

Step 3

The natural logarithm of $e$ is $1$ .

$4 \cdot 4 - 2 (3 \cdot 1)$

Step 4

Multiply $3$ by $1$ .

$4 \cdot 4 - 2 \cdot 3$

Step 5

Simplify each term.

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Step 5.1

Multiply $4$ by $4$ .

$16 - 2 \cdot 3$

Step 5.2

Multiply $- 2$ by $3$ .

$16 - 6$

Step 6

Subtract $6$ from $16$ .

$10$