Precalculus Examples

$5 \ln (e^{2}) + \log (1000)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

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

$5 (2 \ln (e)) + \log (1000)$

Step 1.2

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

$5 (2 \cdot 1) + \log (1000)$

Step 1.3

Multiply $2$ by $1$ .

$5 \cdot 2 + \log (1000)$

Step 1.4

Multiply $5$ by $2$ .

$10 + \log (1000)$

Step 1.5

Logarithm base $10$ of $1000$ is $3$ .

$10 + 3$

Step 2

Add $10$ and $3$ .

$13$