Precalculus Examples

$\ln ({(e)}^{11}) - 12$

Step 1

Simplify each term.

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Step 1.1

Use logarithm rules to move $11$ out of the exponent.

$11 \ln (e) - 12$

Step 1.2

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

$11 \cdot 1 - 12$

Step 1.3

Multiply $11$ by $1$ .

$11 - 12$

Step 2

Subtract $12$ from $11$ .

$- 1$