Precalculus Examples

$3 \ln (x) + \frac{1}{2} \cdot \ln (y - 2)$

Step 1

Combine $\frac{1}{2}$ and $\ln (y - 2)$ .

$3 \ln (x) + \frac{\ln (y - 2)}{2}$

Step 2

To write $3 \ln (x)$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$3 \ln (x) \cdot \frac{2}{2} + \frac{\ln (y - 2)}{2}$

Step 3

Combine $3 \ln (x)$ and $\frac{2}{2}$ .

$\frac{3 \ln (x) \cdot 2}{2} + \frac{\ln (y - 2)}{2}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \ln (x) \cdot 2 + \ln (y - 2)}{2}$

Step 5

Multiply $2$ by $3$ .

$\frac{6 \ln (x) + \ln (y - 2)}{2}$