Calculus Examples

$\frac{\ln (128)}{\frac{7 π}{2}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\ln (128) \frac{2}{7 π}$

Step 2

Rewrite $\ln (128)$ as $\ln (2^{7})$ .

$\ln (2^{7}) \frac{2}{7 π}$

Step 3

Expand $\ln (2^{7})$ by moving $7$ outside the logarithm.

$7 \ln (2) \frac{2}{7 π}$

Step 4

Cancel the common factor of $7$ .

Tap for more steps...

Step 4.1

Factor $7$ out of $7 \ln (2)$ .

$7 (\ln (2)) \frac{2}{7 π}$

Step 4.2

Factor $7$ out of $7 π$ .

$7 (\ln (2)) \frac{2}{7 (π)}$

Step 4.3

Cancel the common factor.

$7 \ln (2) \frac{2}{7 π}$

Step 4.4

Rewrite the expression.

$\ln (2) \frac{2}{π}$

Step 5

Combine $\ln (2)$ and $\frac{2}{π}$ .

$\frac{\ln (2) \cdot 2}{π}$

Step 6

Move $2$ to the left of $\ln (2)$ .

$\frac{2 \ln (2)}{π}$