Precalculus Examples

$- 2 \ln ({(e)}^{2}) + 1$

Step 1

Simplify each term.

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Step 1.1

Use logarithm rules to move $2$ out of the exponent.

$- 2 (2 \ln (e)) + 1$

Step 1.2

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

$- 2 (2 \cdot 1) + 1$

Step 1.3

Multiply $2$ by $1$ .

$- 2 \cdot 2 + 1$

Step 1.4

Multiply $- 2$ by $2$ .

$- 4 + 1$

Step 2

Add $- 4$ and $1$ .

$- 3$