Evaluate 2 natural log of e^7+ natural log of e^4

$2 \ln (e^{7}) + \ln (e^{4})$

Simplify each term.

Use logarithm rules to move $7$ out of the exponent.

$2 (7 \ln (e)) + \ln (e^{4})$

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

$2 (7 \cdot 1) + \ln (e^{4})$

Multiply $7$ by $1$ .

$2 \cdot 7 + \ln (e^{4})$

Multiply $2$ by $7$ .

$14 + \ln (e^{4})$

Use logarithm rules to move $4$ out of the exponent.

$14 + 4 \ln (e)$

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

$14 + 4 \cdot 1$

Multiply $4$ by $1$ .

$14 + 4$

Add $14$ and $4$ .

$18$