Precalculus Examples

$\frac{1}{7} + \ln (7)$

Step 1

To write $\ln (7)$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{1}{7} + \ln (7) \cdot \frac{7}{7}$

Step 2

Combine fractions.

Tap for more steps...

Step 2.1

Combine $\ln (7)$ and $\frac{7}{7}$ .

$\frac{1}{7} + \frac{\ln (7) \cdot 7}{7}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{1 + \ln (7) \cdot 7}{7}$

Step 3

Simplify the numerator.

Tap for more steps...

Step 3.1

Multiply $\ln (7) \cdot 7$ .

Tap for more steps...

Step 3.1.1

Reorder $\ln (7)$ and $7$ .

$\frac{1 + 7 \cdot \ln (7)}{7}$

Step 3.1.2

Simplify $7 \cdot \ln (7)$ by moving $7$ inside the logarithm.

$\frac{1 + \ln (7^{7})}{7}$

Step 3.2

Raise $7$ to the power of $7$ .

$\frac{1 + \ln (823543)}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1 + \ln (823543)}{7}$

Decimal Form:

$2.08876729 \dots$