Calculus Examples

$\ln (e^{3}) + \ln (1)$

Step 1

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\ln (e^{3} \cdot 1)$

Step 2

Multiply $e^{3}$ by $1$ .

$\ln (e^{3})$

Step 3

Use logarithm rules to move $3$ out of the exponent.

$3 \ln (e)$

Step 4

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

$3 \cdot 1$

Step 5

Multiply $3$ by $1$ .

$3$