Precalculus Examples

$\frac{\ln (22574 + 7)}{3}$

Step 1

Add $22574$ and $7$ .

$\frac{\ln (22581)}{3}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Rewrite $\ln (22581)$ as $\ln (3^{2} \cdot 13 \cdot 193)$ .

$\frac{\ln (3^{2} \cdot 13 \cdot 193)}{3}$

Step 2.2

Rewrite $\ln (3^{2} \cdot 13 \cdot 193)$ as $\ln (3^{2} \cdot 13) + \ln (193)$ .

$\frac{\ln (3^{2} \cdot 13) + \ln (193)}{3}$

Step 2.3

Simplify each term.

Tap for more steps...

Step 2.3.1

Rewrite $\ln (3^{2} \cdot 13)$ as $\ln (3^{2}) + \ln (13)$ .

$\frac{\ln (3^{2}) + \ln (13) + \ln (193)}{3}$

Step 2.3.2

Expand $\ln (3^{2})$ by moving $2$ outside the logarithm.

$\frac{2 \ln (3) + \ln (13) + \ln (193)}{3}$