Precalculus Examples

$\frac{\ln (\frac{39}{16})}{10}$

Step 1

Rewrite $\ln (\frac{39}{16})$ as $\ln (39) - \ln (16)$ .

$\frac{\ln (39) - \ln (16)}{10}$

Step 2

Rewrite $\ln (16)$ as $\ln (2^{4})$ .

$\frac{\ln (39) - \ln (2^{4})}{10}$

Step 3

Expand $\ln (2^{4})$ by moving $4$ outside the logarithm.

$\frac{\ln (39) - (4 \ln (2))}{10}$

Step 4

Multiply $4$ by $- 1$ .

$\frac{\ln (39) - 4 \ln (2)}{10}$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Rewrite $\ln (39)$ as $\ln (3 (13))$ .

$\frac{\ln (3 (13)) - 4 \ln (2)}{10}$

Step 5.2

Rewrite $\ln (3 (13))$ as $\ln (3) + \ln (13)$ .

$\frac{\ln (3) + \ln (13) - 4 \ln (2)}{10}$