Algebra Examples

$\frac{1}{2} \ln (e^{7})$

Step 1

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

$\frac{1}{2} \cdot (7 \ln (e))$

Step 2

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

$\frac{1}{2} \cdot (7 \cdot 1)$

Step 3

Multiply $7$ by $1$ .

$\frac{1}{2} \cdot 7$

Step 4

Combine $\frac{1}{2}$ and $7$ .

$\frac{7}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{2}$

Decimal Form:

$3.5$

Mixed Number Form:

$3 \frac{1}{2}$