Calculus Examples

$\ln (\frac{5 x}{y^{2}})$

Step 1

Rewrite $\ln (\frac{5 x}{y^{2}})$ as $\ln (5 x) - \ln (y^{2})$ .

$\ln (5 x) - \ln (y^{2})$

Step 2

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

$\ln (5 x) - (2 \ln (y))$

Step 3

Multiply $2$ by $- 1$ .

$\ln (5 x) - 2 \ln (y)$

Step 4

Rewrite $\ln (5 x)$ as $\ln (5) + \ln (x)$ .

$\ln (5) + \ln (x) - 2 \ln (y)$